Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport eigenvalue problems separated in energy by proper generalized decomposition. (English) Zbl 07788140 J. Comput. Phys. 486, Article ID 112137, 20 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 486, Article ID 112137, 20 p. (2023; Zbl 07788140) Full Text: DOI
Aristoff, David; Bangerth, Wolfgang A Benchmark for the Bayesian inversion of coefficients in partial differential equations. (English) Zbl 07771545 SIAM Rev. 65, No. 4, 1074-1105 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65N21 65N20 62F15 65C40 65C05 65N30 65N50 35R30 35R25 74G75 PDFBibTeX XMLCite \textit{D. Aristoff} and \textit{W. Bangerth}, SIAM Rev. 65, No. 4, 1074--1105 (2023; Zbl 07771545) Full Text: DOI arXiv
Foucart, Corbin; Charous, Aaron; Lermusiaux, Pierre F. J. Deep reinforcement learning for adaptive mesh refinement. (English) Zbl 07771296 J. Comput. Phys. 491, Article ID 112381, 29 p. (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{C. Foucart} et al., J. Comput. Phys. 491, Article ID 112381, 29 p. (2023; Zbl 07771296) Full Text: DOI arXiv
Heinz, Johannes; Munch, Peter; Kaltenbacher, Manfred High-order non-conforming discontinuous Galerkin methods for the acoustic conservation equations. (English) Zbl 07769148 Int. J. Numer. Methods Eng. 124, No. 9, 2034-2049 (2023). MSC: 65Mxx 74Sxx 35Lxx PDFBibTeX XMLCite \textit{J. Heinz} et al., Int. J. Numer. Methods Eng. 124, No. 9, 2034--2049 (2023; Zbl 07769148) Full Text: DOI arXiv OA License
Barnafi, Nicolás A.; Pavarino, Luca F.; Scacchi, Simone A comparative study of scalable multilevel preconditioners for cardiac mechanics. (English) Zbl 07742907 J. Comput. Phys. 492, Article ID 112421, 24 p. (2023). MSC: 65Fxx 65Nxx 92Cxx PDFBibTeX XMLCite \textit{N. A. Barnafi} et al., J. Comput. Phys. 492, Article ID 112421, 24 p. (2023; Zbl 07742907) Full Text: DOI arXiv
Lei, Wenyu; Turkiyyah, George; Knio, Omar Finite element discretizations for variable-order fractional diffusion problems. (English) Zbl 1522.65216 J. Sci. Comput. 97, No. 1, Paper No. 5, 36 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N35 65N38 65N06 65N22 65D32 65F55 35A01 35A02 35R11 PDFBibTeX XMLCite \textit{W. Lei} et al., J. Sci. Comput. 97, No. 1, Paper No. 5, 36 p. (2023; Zbl 1522.65216) Full Text: DOI arXiv
Aggul, Mustafa; Eroglu, Fatma G.; Kaya, Songül Artificial compression method for MHD system in Elsässer variables. (English) Zbl 07698999 Appl. Numer. Math. 185, 72-87 (2023). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{M. Aggul} et al., Appl. Numer. Math. 185, 72--87 (2023; Zbl 07698999) Full Text: DOI
Orlando, Giuseppe; Benacchio, Tommaso; Bonaventura, Luca An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement. (English) Zbl 07698169 J. Comput. Appl. Math. 427, Article ID 115124, 17 p. (2023). MSC: 65Mxx 76Mxx 86Axx PDFBibTeX XMLCite \textit{G. Orlando} et al., J. Comput. Appl. Math. 427, Article ID 115124, 17 p. (2023; Zbl 07698169) Full Text: DOI arXiv
Solin, Pavel; Cerveny, Jakub Selected aspects of constrained conforming approximation in higher-order FEM. (English) Zbl 07698164 J. Comput. Appl. Math. 427, Article ID 115118, 15 p. (2023). MSC: 65Nxx 74Sxx 35Jxx PDFBibTeX XMLCite \textit{P. Solin} and \textit{J. Cerveny}, J. Comput. Appl. Math. 427, Article ID 115118, 15 p. (2023; Zbl 07698164) Full Text: DOI
Guo, Yongfan; Na, SeonHong A computational framework based on explicit local chemical equilibrium for coupled chemo-hydro-mechanical effects on fluid-infiltrating porous media. (English) Zbl 07696969 J. Comput. Phys. 488, Article ID 112196, 26 p. (2023). MSC: 74Fxx 65Nxx 74Sxx PDFBibTeX XMLCite \textit{Y. Guo} and \textit{S. Na}, J. Comput. Phys. 488, Article ID 112196, 26 p. (2023; Zbl 07696969) Full Text: DOI
Joachim, Jeanne; Daunais, Carole-Anne; Bibeau, Valérie; Heltai, Luca; Blais, Bruno A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixing. (English) Zbl 07696962 J. Comput. Phys. 488, Article ID 112189, 21 p. (2023). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{J. Joachim} et al., J. Comput. Phys. 488, Article ID 112189, 21 p. (2023; Zbl 07696962) Full Text: DOI
Fu, Kejie; Liao, Mingjie; Wang, Yangshuai; Chen, Jianjun; Zhang, Lei Adaptive multigrid strategy for geometry optimization of large-scale three dimensional molecular mechanics. (English) Zbl 07690214 J. Comput. Phys. 485, Article ID 112113, 18 p. (2023). MSC: 65Nxx 90Cxx 82Dxx PDFBibTeX XMLCite \textit{K. Fu} et al., J. Comput. Phys. 485, Article ID 112113, 18 p. (2023; Zbl 07690214) Full Text: DOI arXiv
Africa, P. C.; Salvador, M.; Gervasio, P.; Dede’, L.; Quarteroni, A. A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. (English) Zbl 07660345 J. Comput. Phys. 478, Article ID 111984, 22 p. (2023). MSC: 65Nxx 65Mxx 92Cxx PDFBibTeX XMLCite \textit{P. C. Africa} et al., J. Comput. Phys. 478, Article ID 111984, 22 p. (2023; Zbl 07660345) Full Text: DOI arXiv
Orlando, Giuseppe A filtering monotonization approach for DG discretizations of hyperbolic problems. (English) Zbl 1524.65581 Comput. Math. Appl. 129, 113-125 (2023). MSC: 65M60 35L65 65N30 76M10 65M12 35F21 35Q31 76N10 76B03 65L06 65M06 PDFBibTeX XMLCite \textit{G. Orlando}, Comput. Math. Appl. 129, 113--125 (2023; Zbl 1524.65581) Full Text: DOI arXiv
Trojak, W.; Watson, R.; Witherden, F. D. Hyperbolic diffusion in flux reconstruction: optimisation through kernel fusion within tensor-product elements. (English) Zbl 07699230 Comput. Phys. Commun. 273, Article ID 108235, 20 p. (2022). MSC: 65Mxx 68-XX PDFBibTeX XMLCite \textit{W. Trojak} et al., Comput. Phys. Commun. 273, Article ID 108235, 20 p. (2022; Zbl 07699230) Full Text: DOI arXiv
Verdugo, Francesc; Badia, Santiago The software design of gridap: a finite element package based on the Julia JIT compiler. (English) Zbl 1516.65162 Comput. Phys. Commun. 276, Article ID 108341, 24 p. (2022). MSC: 65Y15 65N30 PDFBibTeX XMLCite \textit{F. Verdugo} and \textit{S. Badia}, Comput. Phys. Commun. 276, Article ID 108341, 24 p. (2022; Zbl 1516.65162) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. (English) Zbl 1503.65225 J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022). MSC: 65M60 65M99 68T07 68Q32 65K10 65D05 PDFBibTeX XMLCite \textit{L. Cicci} et al., J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022; Zbl 1503.65225) Full Text: DOI arXiv
Orlando, Giuseppe; Barbante, Paolo Francesco; Bonaventura, Luca An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases. (English) Zbl 07605612 J. Comput. Phys. 471, Article ID 111653, 31 p. (2022). MSC: 65Lxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{G. Orlando} et al., J. Comput. Phys. 471, Article ID 111653, 31 p. (2022; Zbl 07605612) Full Text: DOI arXiv
Russillo, Andrea Francesco; Failla, Giuseppe; Barretta, Raffaele; Marotti de Sciarra, Francesco On the dynamics of 3D nonlocal solids. (English) Zbl 1523.74010 Int. J. Eng. Sci. 180, Article ID 103742, 16 p. (2022). MSC: 74B99 74H45 74K20 74K10 74S05 PDFBibTeX XMLCite \textit{A. F. Russillo} et al., Int. J. Eng. Sci. 180, Article ID 103742, 16 p. (2022; Zbl 1523.74010) Full Text: DOI
MacLean, Keigan; Nadarajah, Siva Anisotropic mesh generation and adaptation for quads using the \(L_p\)-CVT method. (English) Zbl 07599611 J. Comput. Phys. 470, Article ID 111578, 31 p. (2022). MSC: 65Nxx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{K. MacLean} and \textit{S. Nadarajah}, J. Comput. Phys. 470, Article ID 111578, 31 p. (2022; Zbl 07599611) Full Text: DOI
Dasika, Sunder; Vaghani, Dipak; Shukla, Ratnesh K. Constrained least-squares based adaptive-order finite-volume WENO scheme for the simulation of viscous compressible flows on unstructured grids. (English) Zbl 07599592 J. Comput. Phys. 470, Article ID 111534, 39 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{S. Dasika} et al., J. Comput. Phys. 470, Article ID 111534, 39 p. (2022; Zbl 07599592) Full Text: DOI
Giuliani, Nicola; Hess, Martin W.; Desimone, Antonio; Rozza, Gianluigi MicroROM: an efficient and accurate reduced order method to solve many-query problems in micro-motility. (English) Zbl 1498.65212 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151-1172 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 76D07 65N99 49Q10 PDFBibTeX XMLCite \textit{N. Giuliani} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1151--1172 (2022; Zbl 1498.65212) Full Text: DOI arXiv
Dörich, Benjamin; Leibold, Jan Full discretization error analysis of exponential integrators for semilinear wave equations. (English) Zbl 1496.65161 Math. Comput. 91, No. 336, 1687-1709 (2022). Reviewer: J. Manimaran (Thiruvananthapuram) MSC: 65M60 65M06 65N30 65L06 65L04 65M12 65M15 65J08 76Q05 PDFBibTeX XMLCite \textit{B. Dörich} and \textit{J. Leibold}, Math. Comput. 91, No. 336, 1687--1709 (2022; Zbl 1496.65161) Full Text: DOI Link
Peschka, Dirk; Heltai, Luca Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle. (English) Zbl 07540360 J. Comput. Phys. 464, Article ID 111325, 22 p. (2022). MSC: 76Dxx 65Mxx 35Kxx PDFBibTeX XMLCite \textit{D. Peschka} and \textit{L. Heltai}, J. Comput. Phys. 464, Article ID 111325, 22 p. (2022; Zbl 07540360) Full Text: DOI arXiv
Dedner, Andreas; Klöfkorn, Robert Extendible and efficient Python framework for solving evolution equations with stabilized discontinuous Galerkin methods. (English) Zbl 1499.65490 Commun. Appl. Math. Comput. 4, No. 2, 657-696 (2022). MSC: 65M60 65N30 65M08 35Q31 35Q90 65D32 65M20 65L06 65H10 76N06 35Q35 PDFBibTeX XMLCite \textit{A. Dedner} and \textit{R. Klöfkorn}, Commun. Appl. Math. Comput. 4, No. 2, 657--696 (2022; Zbl 1499.65490) Full Text: DOI arXiv
Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport separated in energy by proper generalized decomposition with applications to nuclear reactor physics. (English) Zbl 07524761 J. Comput. Phys. 449, Article ID 110744, 40 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 449, Article ID 110744, 40 p. (2022; Zbl 07524761) Full Text: DOI
Tang, Qi; Chacón, Luis; Kolev, Tzanio V.; Shadid, John N.; Tang, Xian-Zhu An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. (English) Zbl 07518056 J. Comput. Phys. 454, Article ID 110967, 32 p. (2022). MSC: 76Wxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{Q. Tang} et al., J. Comput. Phys. 454, Article ID 110967, 32 p. (2022; Zbl 07518056) Full Text: DOI arXiv
Li, Lei; Zhang, Jiaqi; Xu, Zelai; Young, Y.-N.; Feng, James J.; Yue, Pengtao An arbitrary Lagrangian-Eulerian method for simulating interfacial dynamics between a hydrogel and a fluid. (English) Zbl 07517156 J. Comput. Phys. 451, Article ID 110851, 22 p. (2022). MSC: 65Mxx 74Fxx 76-XX PDFBibTeX XMLCite \textit{L. Li} et al., J. Comput. Phys. 451, Article ID 110851, 22 p. (2022; Zbl 07517156) Full Text: DOI
Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo LDG approximation of large deformations of prestrained plates. (English) Zbl 07516803 J. Comput. Phys. 448, Article ID 110719, 27 p. (2022). MSC: 74Kxx 65Nxx 74Bxx PDFBibTeX XMLCite \textit{A. Bonito} et al., J. Comput. Phys. 448, Article ID 110719, 27 p. (2022; Zbl 07516803) Full Text: DOI arXiv
Fehn, Niklas; Heinz, Johannes; Wall, Wolfgang A.; Kronbichler, Martin High-order arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the incompressible Navier-Stokes equations. (English) Zbl 07506519 J. Comput. Phys. 430, Article ID 110040, 32 p. (2021). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{N. Fehn} et al., J. Comput. Phys. 430, Article ID 110040, 32 p. (2021; Zbl 07506519) Full Text: DOI arXiv
Xue, Tianju; Sun, WaiChing; Adriaenssens, Sigrid; Wei, Yujie; Liu, Chuanqi A new finite element level set reinitialization method based on the shifted boundary method. (English) Zbl 07505955 J. Comput. Phys. 438, Article ID 110360, 18 p. (2021). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{T. Xue} et al., J. Comput. Phys. 438, Article ID 110360, 18 p. (2021; Zbl 07505955) Full Text: DOI
Jolivet, P.; Badri, M. A.; Favennec, Y. Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioning. (English) Zbl 07505906 J. Comput. Phys. 437, Article ID 110313, 19 p. (2021). MSC: 65Nxx 65Fxx 65Rxx PDFBibTeX XMLCite \textit{P. Jolivet} et al., J. Comput. Phys. 437, Article ID 110313, 19 p. (2021; Zbl 07505906) Full Text: DOI
Grave, Malú; Coutinho, Alvaro L. G. A. Adaptive mesh refinement and coarsening for diffusion-reaction epidemiological models. (English) Zbl 1475.92167 Comput. Mech. 67, No. 4, 1177-1199 (2021). MSC: 92D30 35K57 65M50 65M60 PDFBibTeX XMLCite \textit{M. Grave} and \textit{A. L. G. A. Coutinho}, Comput. Mech. 67, No. 4, 1177--1199 (2021; Zbl 1475.92167) Full Text: DOI arXiv
Hale, Jack S.; Schenone, Elisa; Baroli, Davide; Beex, Lars A. A.; Bordas, Stéphane P. A. A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. (English) Zbl 1506.65179 Comput. Methods Appl. Mech. Eng. 380, Article ID 113723, 27 p. (2021). MSC: 65M99 65M22 PDFBibTeX XMLCite \textit{J. S. Hale} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113723, 27 p. (2021; Zbl 1506.65179) Full Text: DOI
Darian, Hossein Mahmoodi Investigation of C++ variadic templates for numerical methods and finite difference schemes. (English) Zbl 1466.65061 SIAM J. Sci. Comput. 43, No. 1, C89-C125 (2021). MSC: 65M06 65-04 35-04 65Y10 PDFBibTeX XMLCite \textit{H. M. Darian}, SIAM J. Sci. Comput. 43, No. 1, C89--C125 (2021; Zbl 1466.65061) Full Text: DOI
Baumgarten, Niklas; Wieners, Christian The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods. (English) Zbl 1524.65513 Comput. Math. Appl. 81, 391-406 (2021). MSC: 65M60 65N30 65C30 65C05 65Y05 65F08 65-04 97M50 PDFBibTeX XMLCite \textit{N. Baumgarten} and \textit{C. Wieners}, Comput. Math. Appl. 81, 391--406 (2021; Zbl 1524.65513) Full Text: DOI Link
Bespalov, Alex; Rocchi, Leonardo; Silvester, David T-IFISS: a toolbox for adaptive FEM computation. (English) Zbl 1524.65004 Comput. Math. Appl. 81, 373-390 (2021). MSC: 65-04 65N30 65N15 65N50 35J25 35R60 97M50 PDFBibTeX XMLCite \textit{A. Bespalov} et al., Comput. Math. Appl. 81, 373--390 (2021; Zbl 1524.65004) Full Text: DOI arXiv
Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitris Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint. (English) Zbl 07508404 J. Comput. Phys. 423, Article ID 109785, 14 p. (2020). MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{A. Bonito} et al., J. Comput. Phys. 423, Article ID 109785, 14 p. (2020; Zbl 07508404) Full Text: DOI arXiv
Guan, Hongbo; Yang, Yong; Zhu, Huiqing The convergence and superconvergence of a MFEM for elliptic optimal control problems. (English) Zbl 1488.65614 Adv. Appl. Math. Mech. 12, No. 2, 527-544 (2020). MSC: 65N30 65N15 65K10 93C20 PDFBibTeX XMLCite \textit{H. Guan} et al., Adv. Appl. Math. Mech. 12, No. 2, 527--544 (2020; Zbl 1488.65614) Full Text: DOI
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc A generic finite element framework on parallel tree-based adaptive meshes. (English) Zbl 07328656 SIAM J. Sci. Comput. 42, No. 6, C436-C468 (2020). MSC: 65Y05 65Y20 65N30 65M50 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 42, No. 6, C436--C468 (2020; Zbl 07328656) Full Text: DOI arXiv
Welper, G. Transformed snapshot interpolation with high resolution transforms. (English) Zbl 1452.65297 SIAM J. Sci. Comput. 42, No. 4, A2037-A2061 (2020). MSC: 65M99 65M12 41A46 41A25 35L67 PDFBibTeX XMLCite \textit{G. Welper}, SIAM J. Sci. Comput. 42, No. 4, A2037--A2061 (2020; Zbl 1452.65297) Full Text: DOI arXiv
Murphy, Laura; Madzvamuse, Anotida A moving grid finite element method applied to a mechanobiochemical model for 3D cell migration. (English) Zbl 1441.74267 Appl. Numer. Math. 158, 336-359 (2020). MSC: 74S05 74L15 35Q74 PDFBibTeX XMLCite \textit{L. Murphy} and \textit{A. Madzvamuse}, Appl. Numer. Math. 158, 336--359 (2020; Zbl 1441.74267) Full Text: DOI arXiv
Dedner, Andreas; Klöfkorn, Robert A Python framework for solving advection-diffusion problems. (English) Zbl 1454.65084 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 695-703 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N30 65M20 65L06 76N30 35Q31 PDFBibTeX XMLCite \textit{A. Dedner} and \textit{R. Klöfkorn}, Springer Proc. Math. Stat. 323, 695--703 (2020; Zbl 1454.65084) Full Text: DOI
Endtmayer, Bernhard; Langer, Ulrich.; Neitzel, I.; Wick, Thomas; Wollner, W. Multigoal-oriented optimal control problems with nonlinear PDE constraints. (English) Zbl 1445.49012 Comput. Math. Appl. 79, No. 10, 3001-3026 (2020). MSC: 49K20 65M60 49M25 49M41 PDFBibTeX XMLCite \textit{B. Endtmayer} et al., Comput. Math. Appl. 79, No. 10, 3001--3026 (2020; Zbl 1445.49012) Full Text: DOI arXiv
Cheng, Jian; Yu, Shengjiao; Yue, Huiqiang; Liu, Tiegang An adjoint-based \(h\)-adaptive reconstructed discontinuous Galerkin method for the steady-state compressible Euler equations. (English) Zbl 1474.65346 Commun. Comput. Phys. 26, No. 3, 855-879 (2019). MSC: 65M60 65M99 35L65 PDFBibTeX XMLCite \textit{J. Cheng} et al., Commun. Comput. Phys. 26, No. 3, 855--879 (2019; Zbl 1474.65346) Full Text: DOI
Hochbruck, Marlis; Maier, Bernhard; Stohrer, Christian Heterogeneous multiscale method for Maxwell’s equations. (English) Zbl 1435.78019 Multiscale Model. Simul. 17, No. 4, 1147-1171 (2019). MSC: 78M10 65M60 65M06 65L06 65M12 65M15 65N15 65M20 35Q61 78M20 78A25 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Multiscale Model. Simul. 17, No. 4, 1147--1171 (2019; Zbl 1435.78019) Full Text: DOI
Hao, Wenrui; Yang, Yong Convergence of a homotopy finite element method for computing steady states of Burgers’ equation. (English) Zbl 1446.65092 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1629-1644 (2019). MSC: 65M12 35Q53 65M60 65M99 PDFBibTeX XMLCite \textit{W. Hao} and \textit{Y. Yang}, ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1629--1644 (2019; Zbl 1446.65092) Full Text: DOI
Samii, Ali; Kazhyken, Kazbek; Michoski, Craig; Dawson, Clint A comparison of the explicit and implicit hybridizable discontinuous Galerkin methods for nonlinear shallow water equations. (English) Zbl 1428.65093 J. Sci. Comput. 80, No. 3, 1936-1956 (2019). MSC: 65N30 65L06 35Q35 76B15 76M10 PDFBibTeX XMLCite \textit{A. Samii} et al., J. Sci. Comput. 80, No. 3, 1936--1956 (2019; Zbl 1428.65093) Full Text: DOI
Neitzel, Ira; Wick, Thomas; Wollner, Winnifried An optimal control problem governed by a regularized phase-field fracture propagation model. II: The regularization limit. (English) Zbl 1420.49006 SIAM J. Control Optim. 57, No. 3, 1672-1690 (2019). MSC: 49J21 49K21 74R10 PDFBibTeX XMLCite \textit{I. Neitzel} et al., SIAM J. Control Optim. 57, No. 3, 1672--1690 (2019; Zbl 1420.49006) Full Text: DOI
Gillette, Andrew; Kloefkorn, Tyler; Sanders, Victoria Computational serendipity and tensor product finite element differential forms. (English) Zbl 1422.65387 SMAI J. Comput. Math. 5, 1-21 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Gillette} et al., SMAI J. Comput. Math. 5, 1--21 (2019; Zbl 1422.65387) Full Text: DOI arXiv
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E. Numerical approximation of the integral fractional Laplacian. (English) Zbl 1414.65032 Numer. Math. 142, No. 2, 235-278 (2019). MSC: 65N30 35S15 65N15 65R20 65N12 35R11 65D30 PDFBibTeX XMLCite \textit{A. Bonito} et al., Numer. Math. 142, No. 2, 235--278 (2019; Zbl 1414.65032) Full Text: DOI arXiv
Bonito, Andrea; Borthagaray, Juan Pablo; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. Numerical methods for fractional diffusion. (English) Zbl 07704543 Comput. Vis. Sci. 19, No. 5-6, 19-46 (2018). MSC: 65Nxx PDFBibTeX XMLCite \textit{A. Bonito} et al., Comput. Vis. Sci. 19, No. 5--6, 19--46 (2018; Zbl 07704543) Full Text: DOI arXiv
Deolmi, G.; Müller, S. A two-step model order reduction method to simulate a compressible flow over an extended rough surface. (English) Zbl 07316234 Math. Comput. Simul. 150, 49-65 (2018). MSC: 76Mxx 76Dxx 35Qxx 74Fxx 65Nxx PDFBibTeX XMLCite \textit{G. Deolmi} and \textit{S. Müller}, Math. Comput. Simul. 150, 49--65 (2018; Zbl 07316234) Full Text: DOI
Dudzinski, Michael; Rozgić, Marco; Stiemer, Marcus \(o\) FEM: an object oriented finite element package for Matlab. (English) Zbl 1427.65001 Appl. Math. Comput. 334, 117-140 (2018). MSC: 65-04 65Y15 65L60 65M60 65N30 PDFBibTeX XMLCite \textit{M. Dudzinski} et al., Appl. Math. Comput. 334, 117--140 (2018; Zbl 1427.65001) Full Text: DOI
Axelsson, Owe; Neytcheva, Maya; Ström, Anders An efficient preconditioning method for state box-constrained optimal control problems. (English) Zbl 1407.65036 J. Numer. Math. 26, No. 4, 185-207 (2018). MSC: 65F08 49J20 65N30 PDFBibTeX XMLCite \textit{O. Axelsson} et al., J. Numer. Math. 26, No. 4, 185--207 (2018; Zbl 1407.65036) Full Text: DOI
Carraro, Thomas; Dörsam, Simon; Frei, Stefan; Schwarz, Daniel An adaptive Newton algorithm for optimal control problems with application to optimal electrode design. (English) Zbl 1396.49023 J. Optim. Theory Appl. 177, No. 2, 498-534 (2018). MSC: 49M15 49K20 65N30 49M05 65K10 92B20 PDFBibTeX XMLCite \textit{T. Carraro} et al., J. Optim. Theory Appl. 177, No. 2, 498--534 (2018; Zbl 1396.49023) Full Text: DOI arXiv
Cicuttin, M.; Di Pietro, D. A.; Ern, A. Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. (English) Zbl 1471.74076 J. Comput. Appl. Math. 344, 852-874 (2018). MSC: 74S99 76M99 65N99 90C90 PDFBibTeX XMLCite \textit{M. Cicuttin} et al., J. Comput. Appl. Math. 344, 852--874 (2018; Zbl 1471.74076) Full Text: DOI HAL
Grohs, Philipp; Hiptmair, Ralf; Pintarelli, Simon Tensor-product discretization for the spatially inhomogeneous and transient Boltzmann equation in two dimensions. (English) Zbl 1416.82038 SMAI J. Comput. Math. 3, 219-248 (2017). MSC: 82C80 65M60 45K05 76P05 82C40 PDFBibTeX XMLCite \textit{P. Grohs} et al., SMAI J. Comput. Math. 3, 219--248 (2017; Zbl 1416.82038) Full Text: DOI
Araujo-Cabarcas, Juan Carlos; Engström, Christian On spurious solutions in finite element approximations of resonances in open systems. (English) Zbl 1398.65189 Comput. Math. Appl. 74, No. 10, 2385-2402 (2017). MSC: 65L60 76Q05 PDFBibTeX XMLCite \textit{J. C. Araujo-Cabarcas} and \textit{C. Engström}, Comput. Math. Appl. 74, No. 10, 2385--2402 (2017; Zbl 1398.65189) Full Text: DOI arXiv
Porcelli, Margherita; Simoncini, Valeria; Stoll, Martin Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints. (English) Zbl 1393.49022 Comput. Math. Appl. 74, No. 5, 1059-1075 (2017). MSC: 49M25 35Q93 65N30 65N22 49K20 49M15 PDFBibTeX XMLCite \textit{M. Porcelli} et al., Comput. Math. Appl. 74, No. 5, 1059--1075 (2017; Zbl 1393.49022) Full Text: DOI arXiv
Ballani, Jonas; Kressner, Daniel; Peters, Michael D. Multilevel tensor approximation of PDEs with random data. (English) Zbl 1383.65006 Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 3, 400-427 (2017). Reviewer: Jichun Li (Las Vegas) MSC: 65C30 60H15 35R60 65N35 65N30 60H35 PDFBibTeX XMLCite \textit{J. Ballani} et al., Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 3, 400--427 (2017; Zbl 1383.65006) Full Text: DOI arXiv
Neitzel, I.; Wick, T.; Wollner, W. An optimal control problem governed by a regularized phase-field fracture propagation model. (English) Zbl 1370.49003 SIAM J. Control Optim. 55, No. 4, 2271-2288 (2017). MSC: 49J21 49K21 74R10 49J45 PDFBibTeX XMLCite \textit{I. Neitzel} et al., SIAM J. Control Optim. 55, No. 4, 2271--2288 (2017; Zbl 1370.49003) Full Text: DOI
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. Stokes control. (English) Zbl 1365.65167 Numer. Algorithms 74, No. 1, 19-37 (2017). Reviewer: Başak Akteke-Öztürk (Ankara) MSC: 65K10 49J20 76D05 65F08 65Y20 49M25 PDFBibTeX XMLCite \textit{O. Axelsson} et al., Numer. Algorithms 74, No. 1, 19--37 (2017; Zbl 1365.65167) Full Text: DOI
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control. (English) Zbl 1347.49048 J. Comput. Appl. Math. 310, 5-18 (2017). MSC: 49M30 49M25 49J20 65K10 65F08 65F10 PDFBibTeX XMLCite \textit{O. Axelsson} et al., J. Comput. Appl. Math. 310, 5--18 (2017; Zbl 1347.49048) Full Text: DOI
Brenner, Susanne C.; Oh, Minah; Pollock, Sara; Porwal, Kamana; Schedensack, Mira; Sharma, Natasha S. A \(C^0\) interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints. (English) Zbl 1384.65038 Brenner, Susanne C. (ed.), Topics in numerical partial differential equations and scientific computing. Based on the presentations at the 2nd IMA’s Women in Applied Mathematics, WhAM!, research collaboration workshop, Minneapolis, MN, USA, August 12–15, 2014. New York, NY: Springer (ISBN 978-1-4939-6398-0/hbk; 978-1-4939-6399-7/ebook). The IMA Volumes in Mathematics and its Applications 160, 1-22 (2016). MSC: 65K10 49J20 65K15 49M25 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., IMA Vol. Math. Appl. 160, 1--22 (2016; Zbl 1384.65038) Full Text: DOI
Barker, Andrew T.; Rees, Tyrone; Stoll, Martin A fast solver for an H1 regularized PDE-constrained optimization problem. (English) Zbl 1373.49028 Commun. Comput. Phys. 19, No. 1, 143-167 (2016). MSC: 49M25 49K20 65K10 65F10 65F50 65M22 65M55 PDFBibTeX XMLCite \textit{A. T. Barker} et al., Commun. Comput. Phys. 19, No. 1, 143--167 (2016; Zbl 1373.49028) Full Text: DOI
Zheng, Weixiong; McClarren, Ryan G. Moment closures based on minimizing the residual of the \(\operatorname{P}_N\) angular expansion in radiation transport. (English) Zbl 1349.82134 J. Comput. Phys. 314, 682-699 (2016). MSC: 82C80 65M60 33C55 45K05 82C70 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{R. G. McClarren}, J. Comput. Phys. 314, 682--699 (2016; Zbl 1349.82134) Full Text: DOI arXiv
Axelsson, Owe; Farouq, Shiraz; Neytcheva, Maya Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems. (English) Zbl 1353.65059 Numer. Algorithms 73, No. 3, 631-663 (2016). MSC: 65K10 49J20 49M25 65F10 65F08 PDFBibTeX XMLCite \textit{O. Axelsson} et al., Numer. Algorithms 73, No. 3, 631--663 (2016; Zbl 1353.65059) Full Text: DOI Link
Marojević, Želimir; Göklü, Ertan; Lämmerzahl, Claus ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation. (English) Zbl 1348.35005 Comput. Phys. Commun. 202, 216-232 (2016). MSC: 35-04 35Q55 82-04 65M60 65N30 PDFBibTeX XMLCite \textit{Ž. Marojević} et al., Comput. Phys. Commun. 202, 216--232 (2016; Zbl 1348.35005) Full Text: DOI arXiv
Milk, René; Rave, Stephan; Schindler, Felix PyMOR – generic algorithms and interfaces for model order reduction. (English) Zbl 1352.65453 SIAM J. Sci. Comput. 38, No. 5, S194-S216 (2016). MSC: 65N22 65Y15 65Y20 35L03 35J20 68N01 PDFBibTeX XMLCite \textit{R. Milk} et al., SIAM J. Sci. Comput. 38, No. 5, S194--S216 (2016; Zbl 1352.65453) Full Text: DOI arXiv
Ballani, Jonas; Kressner, Daniel Reduced basis methods: from low-rank matrices to low-rank tensors. (English) Zbl 1382.15036 SIAM J. Sci. Comput. 38, No. 4, A2045-A2067 (2016). MSC: 15A69 65F99 PDFBibTeX XMLCite \textit{J. Ballani} and \textit{D. Kressner}, SIAM J. Sci. Comput. 38, No. 4, A2045--A2067 (2016; Zbl 1382.15036) Full Text: DOI
Kunisch, Karl; Pieper, Konstantin; Rund, Armin Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach. (English) Zbl 1341.35174 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 381-414 (2016). MSC: 35Q93 35M30 49K20 49J52 90C46 65K10 35B40 93C20 78A70 92C50 PDFBibTeX XMLCite \textit{K. Kunisch} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 2, 381--414 (2016; Zbl 1341.35174) Full Text: DOI Link
Kuberry, Paul; Lee, Hyesuk Convergence of a fluid-structure interaction problem decoupled by a Neumann control over a single time step. (English) Zbl 1391.76342 J. Math. Anal. Appl. 437, No. 1, 645-667 (2016). MSC: 76M10 74S05 65M60 49K20 65M15 74F10 76Z05 92C35 PDFBibTeX XMLCite \textit{P. Kuberry} and \textit{H. Lee}, J. Math. Anal. Appl. 437, No. 1, 645--667 (2016; Zbl 1391.76342) Full Text: DOI
Phillips, Edward G.; Elman, Howard C. A stochastic approach to uncertainty in the equations of MHD kinematics. (English) Zbl 1351.76310 J. Comput. Phys. 284, 334-350 (2015). MSC: 76W05 60H15 PDFBibTeX XMLCite \textit{E. G. Phillips} and \textit{H. C. Elman}, J. Comput. Phys. 284, 334--350 (2015; Zbl 1351.76310) Full Text: DOI
Janka, Dennis Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. (English) Zbl 1326.65076 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 222 p. (2015). MSC: 65K10 49J15 49M37 65L80 62K05 62F10 90C30 90C35 PDFBibTeX XMLCite \textit{D. Janka}, Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1326.65076) Full Text: Link
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick Optimal control of a free boundary problem with surface tension effects: a priori error analysis. (English) Zbl 1343.49043 SIAM J. Numer. Anal. 53, No. 5, 2279-2306 (2015). Reviewer: Aygul Manapova (Ufa) MSC: 49M25 49J20 49K20 35R35 35Q93 65N30 65N15 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Numer. Anal. 53, No. 5, 2279--2306 (2015; Zbl 1343.49043) Full Text: DOI arXiv
Alvarez, Felipe; Flores, Salvador Existence and approximation for variational problems under uniform constraints on the gradient by power penalty. (English) Zbl 1323.49009 SIAM J. Math. Anal. 47, No. 5, 3466-3487 (2015). MSC: 49J45 49J20 49K20 49M30 65K10 65N30 PDFBibTeX XMLCite \textit{F. Alvarez} and \textit{S. Flores}, SIAM J. Math. Anal. 47, No. 5, 3466--3487 (2015; Zbl 1323.49009) Full Text: DOI arXiv Link
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J. A PDE approach to fractional diffusion in general domains: a priori error analysis. (English) Zbl 1347.65178 Found. Comput. Math. 15, No. 3, 733-791 (2015). Reviewer: Michael Plum (Karlsruhe) MSC: 65N30 35R11 65N12 PDFBibTeX XMLCite \textit{R. H. Nochetto} et al., Found. Comput. Math. 15, No. 3, 733--791 (2015; Zbl 1347.65178) Full Text: DOI arXiv
Kuberry, P.; Lee, H. Analysis of a fluid-structure interaction problem recast in an optimal control setting. (English) Zbl 1327.49013 SIAM J. Numer. Anal. 53, No. 3, 1464-1487 (2015). MSC: 49J20 49K20 49M25 65M60 65M12 74F10 74S05 76M10 PDFBibTeX XMLCite \textit{P. Kuberry} and \textit{H. Lee}, SIAM J. Numer. Anal. 53, No. 3, 1464--1487 (2015; Zbl 1327.49013) Full Text: DOI
Richter, Thomas; Wick, Thomas Variational localizations of the dual weighted residual estimator. (English) Zbl 1306.65283 J. Comput. Appl. Math. 279, 192-208 (2015). MSC: 65N50 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{T. Richter} and \textit{T. Wick}, J. Comput. Appl. Math. 279, 192--208 (2015; Zbl 1306.65283) Full Text: DOI
Gupta, Nupur; Nataraj, Neela A dual weighted residual method for an optimal control problem of laser surface hardening of steel. (English) Zbl 1462.49010 Math. Comput. Simul. 103, 12-32 (2014). MSC: 49J20 49J15 65M60 65K10 PDFBibTeX XMLCite \textit{N. Gupta} and \textit{N. Nataraj}, Math. Comput. Simul. 103, 12--32 (2014; Zbl 1462.49010) Full Text: DOI
Javili, A.; McBride, A.; Steinmann, P.; Reddy, B. D. A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. (English) Zbl 1311.74091 Comput. Mech. 54, No. 3, 745-762 (2014). MSC: 74M25 74S05 53A45 74A05 PDFBibTeX XMLCite \textit{A. Javili} et al., Comput. Mech. 54, No. 3, 745--762 (2014; Zbl 1311.74091) Full Text: DOI Link
Stoll, Martin One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem. (English) Zbl 1303.65050 IMA J. Numer. Anal. 34, No. 4, 1554-1577 (2014). MSC: 65K10 49J20 49M25 65F08 65T50 PDFBibTeX XMLCite \textit{M. Stoll}, IMA J. Numer. Anal. 34, No. 4, 1554--1577 (2014; Zbl 1303.65050) Full Text: DOI Link
Vuong, Julia; Simeon, Bernd On finite element method-flux corrected transport stabilization for advection-diffusion problems in a partial differential-algebraic framework. (English) Zbl 1301.65109 J. Comput. Appl. Math. 262, 115-126 (2014). MSC: 65M60 65M22 PDFBibTeX XMLCite \textit{J. Vuong} and \textit{B. Simeon}, J. Comput. Appl. Math. 262, 115--126 (2014; Zbl 1301.65109) Full Text: DOI
Opmeer, Mark R.; Reis, Timo; Wollner, Winnifried Finite-rank ADI iteration for operator Lyapunov equations. (English) Zbl 1279.93022 SIAM J. Control Optim. 51, No. 5, 4084-4117 (2013). MSC: 93B05 93B28 93B40 93C20 39B42 47J25 65J10 PDFBibTeX XMLCite \textit{M. R. Opmeer} et al., SIAM J. Control Optim. 51, No. 5, 4084--4117 (2013; Zbl 1279.93022) Full Text: DOI Link
Pearson, John W.; Stoll, Martin Fast iterative solution of reaction-diffusion control problems arising from chemical processes. (English) Zbl 1281.65095 SIAM J. Sci. Comput. 35, No. 5, B987-B1009 (2013). MSC: 65K10 49J20 49M15 65F08 PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{M. Stoll}, SIAM J. Sci. Comput. 35, No. 5, B987--B1009 (2013; Zbl 1281.65095) Full Text: DOI Link
Alouges, François; DeSimone, Antonio; Heltai, Luca; Lefebvre-Lepot, Aline; Merlet, Benoît Optimally swimming Stokesian robots. (English) Zbl 1375.76228 Discrete Contin. Dyn. Syst., Ser. B 18, No. 5, 1189-1215 (2013). MSC: 76Z10 49N90 70B15 74F10 93B05 93B27 PDFBibTeX XMLCite \textit{F. Alouges} et al., Discrete Contin. Dyn. Syst., Ser. B 18, No. 5, 1189--1215 (2013; Zbl 1375.76228) Full Text: DOI arXiv
Gupta, Nupur; Nataraj, Neela A posteriori error estimates for an optimal control problem of laser surface hardening of steel. (English) Zbl 1269.49049 Adv. Comput. Math. 39, No. 1, 69-99 (2013). MSC: 49M25 49K20 49N90 65M60 65K10 35K58 PDFBibTeX XMLCite \textit{N. Gupta} and \textit{N. Nataraj}, Adv. Comput. Math. 39, No. 1, 69--99 (2013; Zbl 1269.49049) Full Text: DOI
Bell, Nathan; Hirani, Anil N. PyDEC, software and algorithms for discretization of exterior calculus. (English) Zbl 1295.65139 ACM Trans. Math. Softw. 39, No. 1, Article No. 3, 41 p. (2012). MSC: 65Y15 58-04 58A15 65N30 PDFBibTeX XMLCite \textit{N. Bell} and \textit{A. N. Hirani}, ACM Trans. Math. Softw. 39, No. 1, Article No. 3, 41 p. (2012; Zbl 1295.65139) Full Text: DOI arXiv
Stoll, Martin; Wathen, Andy Preconditioning for partial differential equation constrained optimization with control constraints. (English) Zbl 1274.65189 Numer. Linear Algebra Appl. 19, No. 1, 53-71 (2012). Reviewer: Michele Benzi (Atlanta) MSC: 65K10 65F10 49J20 49M15 PDFBibTeX XMLCite \textit{M. Stoll} and \textit{A. Wathen}, Numer. Linear Algebra Appl. 19, No. 1, 53--71 (2012; Zbl 1274.65189) Full Text: DOI
Hinze, Michael; Kunkel, Martin Discrete empirical interpolation in POD model order reduction of drift-diffusion equations in electrical networks. (English) Zbl 1247.78039 Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 423-431 (2012). MSC: 78M10 78M34 65L80 65F50 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{M. Kunkel}, Math. Ind. 16, 423--431 (2012; Zbl 1247.78039) Full Text: DOI
Hinze, M.; Kunkel, M. Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks. (English) Zbl 1237.78038 ZAMM, Z. Angew. Math. Mech. 92, No. 2, 91-104 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 82D37 65L60 37N20 78M34 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{M. Kunkel}, ZAMM, Z. Angew. Math. Mech. 92, No. 2, 91--104 (2012; Zbl 1237.78038) Full Text: DOI arXiv
Heiland, Jan; Mehrmann, Volker; Schmidt, Michael Systematic discretization of input/output maps and control of partial differential equations. (English) Zbl 1262.65069 Siddiqi, A. H. (ed.) et al., Mathematics in science and technology. Mathematical methods, models and algorithms in science and technology. Proceedings of the satellite conference of the international congress of mathematicians (ICM) 2010, New Delhi, India, August 14–17, 2010. Hackensack, NJ: World Scientific (ISBN 978-981-4338-81-3/hbk; 978-981-4338-82-0/ebook). 45-70 (2011). MSC: 65K10 93C20 93D25 PDFBibTeX XMLCite \textit{J. Heiland} et al., in: Mathematics in science and technology. Mathematical methods, models and algorithms in science and technology. Proceedings of the satellite conference of the international congress of mathematicians (ICM) 2010, New Delhi, India, August 14--17, 2010. Hackensack, NJ: World Scientific. 45--70 (2011; Zbl 1262.65069) Full Text: DOI Link
Alouges, François; DeSimone, Antonio; Heltai, Luca Numerical strategies for stroke optimization of axisymmetric microswimmers. (English) Zbl 1315.65100 Math. Models Methods Appl. Sci. 21, No. 2, 361-387 (2011). MSC: 65N38 49N90 76D55 76Z10 PDFBibTeX XMLCite \textit{F. Alouges} et al., Math. Models Methods Appl. Sci. 21, No. 2, 361--387 (2011; Zbl 1315.65100) Full Text: DOI arXiv
Young, T. D.; Armiento, R. Strategies for \(h\)-adaptive refinement for a finite element treatment of harmonic oscillator Schrödinger eigenproblem. (English) Zbl 1229.81082 Commun. Theor. Phys. 53, No. 6, 1017-1023 (2010). MSC: 81Q05 65L60 PDFBibTeX XMLCite \textit{T. D. Young} and \textit{R. Armiento}, Commun. Theor. Phys. 53, No. 6, 1017--1023 (2010; Zbl 1229.81082) Full Text: DOI
Rees, Tyrone; Stoll, Martin; Wathen, Andy All-at-once preconditioning in PDE-constrained optimization. (English) Zbl 1195.65083 Kybernetika 46, No. 2, 341-360 (2010). MSC: 65K10 49J20 49M25 65F08 PDFBibTeX XMLCite \textit{T. Rees} et al., Kybernetika 46, No. 2, 341--360 (2010; Zbl 1195.65083) Full Text: EuDML Link
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar Finite element exterior calculus: From Hodge theory to numerical stability. (English) Zbl 1207.65134 Bull. Am. Math. Soc., New Ser. 47, No. 2, 281-354 (2010). Reviewer: Petr Necesal (Plzen) MSC: 65N30 58A14 14F40 58A12 58A15 58J10 35J05 65N12 PDFBibTeX XMLCite \textit{D. N. Arnold} et al., Bull. Am. Math. Soc., New Ser. 47, No. 2, 281--354 (2010; Zbl 1207.65134) Full Text: DOI arXiv
Hesse, H. K.; Kanschat, G. Mesh adaptive multiple shooting for partial differential equations. I: Linear quadratic optimal control problems. (English) Zbl 1177.65092 J. Numer. Math. 17, No. 3, 195-217 (2009). MSC: 65K10 49J20 49N10 49M30 PDFBibTeX XMLCite \textit{H. K. Hesse} and \textit{G. Kanschat}, J. Numer. Math. 17, No. 3, 195--217 (2009; Zbl 1177.65092) Full Text: DOI
Bangerth, Wolfgang A framework for the adaptive finite element solution of large-scale inverse problems. (English) Zbl 1178.65133 SIAM J. Sci. Comput. 30, No. 6, 2965-2989 (2008). MSC: 65N21 65K10 35R30 65N30 35J05 65N50 49J20 49M15 PDFBibTeX XMLCite \textit{W. Bangerth}, SIAM J. Sci. Comput. 30, No. 6, 2965--2989 (2008; Zbl 1178.65133) Full Text: DOI Link
Antonić, Nenad; Vrdoljak, Marko Gradient methods for multiple state optimal design problems. (English) Zbl 1180.35067 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177-187 (2007). MSC: 35B27 49K20 49M05 65K10 74Q20 35Q93 PDFBibTeX XMLCite \textit{N. Antonić} and \textit{M. Vrdoljak}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177--187 (2007; Zbl 1180.35067) Full Text: DOI