Du, Shaohong; Hou, Qianqian; Xie, Xiaoping A linearized adaptive dynamic diffusion finite element method for convection-diffusion-reaction equations. (English) Zbl 07814788 Ann. Appl. Math. 39, No. 3, 323-351 (2023). MSC: 65K10 65N30 65N21 49M25 49K20 PDFBibTeX XMLCite \textit{S. Du} et al., Ann. Appl. Math. 39, No. 3, 323--351 (2023; Zbl 07814788) Full Text: DOI
Hahn, Mirko; Leyffer, Sven; Sager, Sebastian Binary optimal control by trust-region steepest descent. (English) Zbl 07662896 Math. Program. 197, No. 1 (A), 147-190 (2023). MSC: 49M05 90C10 90C30 90C48 PDFBibTeX XMLCite \textit{M. Hahn} et al., Math. Program. 197, No. 1 (A), 147--190 (2023; Zbl 07662896) Full Text: DOI
Hou, Tianliang; Liu, Chunmei; Dai, Chunlei; Chen, Luoping; Yang, Yin Two-grid algorithm of \(H^1\)-Galerkin mixed finite element methods for semilinear parabolic integro-differential equations. (English) Zbl 1513.49011 J. Comput. Math. 40, No. 5, 671-689 (2022). MSC: 49J20 65N30 47G20 35R09 PDFBibTeX XMLCite \textit{T. Hou} et al., J. Comput. Math. 40, No. 5, 671--689 (2022; Zbl 1513.49011) Full Text: DOI
Wick, Thomas Dual-weighted residual a posteriori error estimates for a penalized phase-field slit discontinuity problem. (English) Zbl 1490.74095 Comput. Methods Appl. Math. 21, No. 3, 693-707 (2021). MSC: 74R10 65N30 65N50 49M15 35Q74 PDFBibTeX XMLCite \textit{T. Wick}, Comput. Methods Appl. Math. 21, No. 3, 693--707 (2021; Zbl 1490.74095) Full Text: DOI
Schröder, Jörg Engineering notes on concepts of the finite element method for elliptic problems. (English) Zbl 1453.65417 Schröder, Jörg (ed.) et al., Novel finite element technologies for solids and structures. Papers based on the presentations at the CISM course, Udine, Italy, September 18–22, 2017. Cham: Springer. CISM Courses Lect. 597, 1-39 (2020). MSC: 65N30 35A15 49J53 74B10 PDFBibTeX XMLCite \textit{J. Schröder}, CISM Courses Lect. 597, 1--39 (2020; Zbl 1453.65417) Full Text: DOI
Endtmayer, Bernhard; Langer, Ulrich; Wick, Thomas Multigoal-oriented error estimates for non-linear problems. (English) Zbl 1435.65200 J. Numer. Math. 27, No. 4, 215-236 (2019). MSC: 65N30 65M60 49M15 35Q74 65N15 65K10 PDFBibTeX XMLCite \textit{B. Endtmayer} et al., J. Numer. Math. 27, No. 4, 215--236 (2019; Zbl 1435.65200) Full Text: DOI arXiv
Endtmayer, Bernhard; Wick, Thomas A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems. (English) Zbl 1434.65252 Comput. Methods Appl. Math. 17, No. 4, 575-599 (2017). MSC: 65N30 49M15 35Q74 65N15 65N50 74R10 PDFBibTeX XMLCite \textit{B. Endtmayer} and \textit{T. Wick}, Comput. Methods Appl. Math. 17, No. 4, 575--599 (2017; Zbl 1434.65252) Full Text: DOI
Fernandez, Lucas dos Santos; Molter, Alexandre; Botelho, Fabio Silva Simultaneous topology optimization and proportional actuators localization. (English) Zbl 1378.74052 S\(\vec{\text{e}}\)MA J. 74, No. 4, 385-409 (2017). MSC: 74P15 74P05 49J40 PDFBibTeX XMLCite \textit{L. dos S. Fernandez} et al., S\(\vec{\text{e}}\)MA J. 74, No. 4, 385--409 (2017; Zbl 1378.74052) Full Text: DOI
Fu, Hongfei; Rui, Hongxing; Hou, Jian; Li, Haihong A stabilized mixed finite element method for elliptic optimal control problems. (English) Zbl 1372.49038 J. Sci. Comput. 66, No. 3, 968-986 (2016); erratum ibid. 66, No. 3, 987-990 (2016). MSC: 49M25 49K20 65N15 65N30 PDFBibTeX XMLCite \textit{H. Fu} et al., J. Sci. Comput. 66, No. 3, 968--986 (2016; Zbl 1372.49038) Full Text: DOI
Kılıçman, Adem; Ahmad, Rais; Rahaman, Mijanur Generalized vector complementarity problem with fuzzy mappings. (English) Zbl 1378.49009 Fuzzy Sets Syst. 280, 133-141 (2015). MSC: 49J40 PDFBibTeX XMLCite \textit{A. Kılıçman} et al., Fuzzy Sets Syst. 280, 133--141 (2015; Zbl 1378.49009) Full Text: DOI
Lee, Hyesuk; Rife, Kelsey Least squares approach for the time-dependent nonlinear Stokes-Darcy flow. (English) Zbl 1366.76071 Comput. Math. Appl. 67, No. 10, 1806-1815 (2014). MSC: 76M25 76S05 49K20 65M55 PDFBibTeX XMLCite \textit{H. Lee} and \textit{K. Rife}, Comput. Math. Appl. 67, No. 10, 1806--1815 (2014; Zbl 1366.76071) Full Text: DOI
Rannacher, Rolf Model reduction by adaptive discretization in optimal control. (English) Zbl 1320.49017 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 251-284 (2014). MSC: 49M25 49J20 49M05 49M15 49M29 65K10 65M50 65M60 65N22 65N30 65N50 PDFBibTeX XMLCite \textit{R. Rannacher}, ISNM, Int. Ser. Numer. Math. 165, 251--284 (2014; Zbl 1320.49017) Full Text: DOI
Kazemi, P.; Renka, R. J. Minimization of the Ginzburg-Landau energy functional by a Sobolev gradient trust-region method. (English) Zbl 1273.65082 Appl. Math. Comput. 219, No. 11, 5936-5942 (2013). MSC: 65K10 49J10 49M25 PDFBibTeX XMLCite \textit{P. Kazemi} and \textit{R. J. Renka}, Appl. Math. Comput. 219, No. 11, 5936--5942 (2013; Zbl 1273.65082) Full Text: DOI
Soane, Ana Maria; Rostamian, Rouben Variational problems in weighted Sobolev spaces on non-smooth domains. (English) Zbl 1194.35115 Q. Appl. Math. 68, No. 3, 439-458 (2010). MSC: 35J05 35J20 35Q30 46E35 76D05 65N30 35J25 49J40 PDFBibTeX XMLCite \textit{A. M. Soane} and \textit{R. Rostamian}, Q. Appl. Math. 68, No. 3, 439--458 (2010; Zbl 1194.35115) Full Text: DOI Link
Walker, Shawn W.; Shelley, Michael J. Shape optimization of peristaltic pumping. (English) Zbl 1329.49058 J. Comput. Phys. 229, No. 4, 1260-1291 (2010). MSC: 49M37 49N10 49Q10 65K10 76M10 76D05 PDFBibTeX XMLCite \textit{S. W. Walker} and \textit{M. J. Shelley}, J. Comput. Phys. 229, No. 4, 1260--1291 (2010; Zbl 1329.49058) Full Text: DOI
Benedix, Olaf; Vexler, Boris A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. (English) Zbl 1192.49031 Comput. Optim. Appl. 44, No. 1, 3-25 (2009). MSC: 49M25 35Q93 35J25 PDFBibTeX XMLCite \textit{O. Benedix} and \textit{B. Vexler}, Comput. Optim. Appl. 44, No. 1, 3--25 (2009; Zbl 1192.49031) Full Text: DOI
Zhou, Tianxiao Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems. (English) Zbl 1081.74046 Math. Comput. 72, No. 244, 1655-1673 (2003). MSC: 74S05 74B05 49M30 65N12 65N30 PDFBibTeX XMLCite \textit{T. Zhou}, Math. Comput. 72, No. 244, 1655--1673 (2003; Zbl 1081.74046) Full Text: DOI
Chen, Tsu-Fen; Ke, Miao-Chen Nonlinear SOR and mesh redistribution. (English) Zbl 1018.65082 J. Comput. Appl. Math. 152, No. 1-2, 51-68 (2003). MSC: 65K10 49J15 49M37 PDFBibTeX XMLCite \textit{T.-F. Chen} and \textit{M.-C. Ke}, J. Comput. Appl. Math. 152, No. 1--2, 51--68 (2003; Zbl 1018.65082) Full Text: DOI
Cloutier, J. R.; Wilson, R. F. Periodically preconditioned conjugate gradient-restoration algorithm. (English) Zbl 0737.90061 J. Optimization Theory Appl. 70, No. 1, 79-95 (1991). Reviewer: W.Kotarski (Katowice) MSC: 90C30 90C52 65K05 90-08 49M37 PDFBibTeX XMLCite \textit{J. R. Cloutier} and \textit{R. F. Wilson}, J. Optim. Theory Appl. 70, No. 1, 79--95 (1991; Zbl 0737.90061) Full Text: DOI
Parisch, H. A consistent tangent stiffness matrix for three-dimensional nonlinear contact analysis. (English) Zbl 0705.73199 Int. J. Numer. Methods Eng. 28, No. 8, 1803-1812 (1989). MSC: 74A55 74M15 74S30 74P10 74S05 74K15 49M29 49M30 PDFBibTeX XMLCite \textit{H. Parisch}, Int. J. Numer. Methods Eng. 28, No. 8, 1803--1812 (1989; Zbl 0705.73199) Full Text: DOI
Alduncin, Gonzalo Duality and variational principles of potential boundary value problems. (English) Zbl 0607.73017 Comput. Methods Appl. Mech. Eng. 64, 469-485 (1987). MSC: 74S30 49S05 65K10 PDFBibTeX XMLCite \textit{G. Alduncin}, Comput. Methods Appl. Mech. Eng. 64, 469--485 (1987; Zbl 0607.73017) Full Text: DOI
Carey, Graham F.; Utku, Mehmet Stability of penalty finite-element methods for nonconforming problems. (English) Zbl 0634.73068 Numer. Methods Partial Differ. Equations 2, 13-29 (1986). Reviewer: J.Prakash MSC: 74S05 49M30 PDFBibTeX XMLCite \textit{G. F. Carey} and \textit{M. Utku}, Numer. Methods Partial Differ. Equations 2, 13--29 (1986; Zbl 0634.73068) Full Text: DOI
Carey, G. F.; Dinh, H. T. Conservation principles and variational problems. (English) Zbl 0579.49030 Acta Mech. 58, 93-97 (1986). MSC: 49S05 76A02 35D99 PDFBibTeX XMLCite \textit{G. F. Carey} and \textit{H. T. Dinh}, Acta Mech. 58, 93--97 (1986; Zbl 0579.49030) Full Text: DOI
Simo, J. C.; Taylor, R. L. Consistent tangent operators for rate-independent elastoplasticity. (English) Zbl 0535.73025 Comput. Methods Appl. Mech. Eng. 48, 101-118 (1985). MSC: 74S30 74S99 74C99 49M15 PDFBibTeX XMLCite \textit{J. C. Simo} and \textit{R. L. Taylor}, Comput. Methods Appl. Mech. Eng. 48, 101--118 (1985; Zbl 0535.73025) Full Text: DOI
Martins, J. A. C.; Oden, J. T. A numerical analysis of a class of problems in elastodynamics with friction. (English) Zbl 0527.73079 Comput. Methods Appl. Mech. Eng. 40, 327-360 (1983). MSC: 74S05 74A55 74M15 74M20 65N30 49J40 74S99 74-04 PDFBibTeX XMLCite \textit{J. A. C. Martins} and \textit{J. T. Oden}, Comput. Methods Appl. Mech. Eng. 40, 327--360 (1983; Zbl 0527.73079) Full Text: DOI
Utku, M.; Carey, G. F. Penalty resolution of the Babushka circle paradox. (English) Zbl 0509.73075 Comput. Methods Appl. Mech. Eng. 41, 11-28 (1983). MSC: 74S05 74K20 49M30 74S99 PDFBibTeX XMLCite \textit{M. Utku} and \textit{G. F. Carey}, Comput. Methods Appl. Mech. Eng. 41, 11--28 (1983; Zbl 0509.73075) Full Text: DOI
Carey, G. F.; Krishnan, R. On a nonlinear iterative method in applied mechanics. II. (English) Zbl 0492.73097 Comput. Methods Appl. Mech. Eng. 30, 323-333 (1982). MSC: 74S30 49M15 65L20 74K20 74K15 PDFBibTeX XMLCite \textit{G. F. Carey} and \textit{R. Krishnan}, Comput. Methods Appl. Mech. Eng. 30, 323--333 (1982; Zbl 0492.73097) Full Text: DOI
Carey, G. F.; Kabaila, A.; Utku, M. On Penalty methods for interelement constraints. (English) Zbl 0483.73071 Comput. Methods Appl. Mech. Eng. 30, 151-171 (1982). MSC: 74S30 65N30 49M30 49M29 74S05 PDFBibTeX XMLCite \textit{G. F. Carey} et al., Comput. Methods Appl. Mech. Eng. 30, 151--171 (1982; Zbl 0483.73071) Full Text: DOI
Carey, G. F. Derivative calculation from finite element solutions. (English) Zbl 0478.73052 Comput. Methods Appl. Mech. Eng. 35, 1-14 (1982). MSC: 74S05 49M15 74S30 PDFBibTeX XMLCite \textit{G. F. Carey}, Comput. Methods Appl. Mech. Eng. 35, 1--14 (1982; Zbl 0478.73052) Full Text: DOI
Carey, G. F.; Krishnan, R. On a nonlinear iterative method in applied mechanics. I. (English) Zbl 0476.73064 Comput. Methods Appl. Mech. Eng. 26, 173-180 (1981). MSC: 74S30 49M15 74K20 74K15 65L20 PDFBibTeX XMLCite \textit{G. F. Carey} and \textit{R. Krishnan}, Comput. Methods Appl. Mech. Eng. 26, 173--180 (1981; Zbl 0476.73064) Full Text: DOI
Oden, J. T.; Kikuchi, N. Theory of variational inequalities with applications to problems of flow through porous media. (English) Zbl 0444.76069 Int. J. Eng. Sci. 18, 1173-1284 (1980). MSC: 76S05 49J40 76-02 65Z05 PDFBibTeX XMLCite \textit{J. T. Oden} and \textit{N. Kikuchi}, Int. J. Eng. Sci. 18, 1173--1284 (1980; Zbl 0444.76069) Full Text: DOI
Stein, Erwin; Kessel, M. H. Numerical methods and their convergence for the computation of statics of geometric nonlinear rod constructions in sub- and supercritical ranges. (Numerische Methoden und deren Konvergenz zur statischen Berechnung geometrisch nichtlinearer Stabwerke im unter- und überkritischen Bereich.) (German) Zbl 0379.73076 Ing.-Arch. 46, 323-335 (1977). MSC: 74S05 74G60 49M15 PDFBibTeX XMLCite \textit{E. Stein} and \textit{M. H. Kessel}, Ing.-Arch. 46, 323--335 (1977; Zbl 0379.73076) Full Text: DOI