Bulle, Raphaël; Hale, Jack S.; Lozinski, Alexei; Bordas, Stéphane P. A.; Chouly, Franz Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project. (English) Zbl 1524.65767 Comput. Math. Appl. 131, 103-123 (2023). MSC: 65N30 65N15 35J25 65N50 35J05 65N12 74B10 PDFBibTeX XMLCite \textit{R. Bulle} et al., Comput. Math. Appl. 131, 103--123 (2023; Zbl 1524.65767) Full Text: DOI arXiv
Bonito, Andrea; Lei, Wenyu Approximation of the spectral fractional powers of the Laplace-Beltrami operator. (English) Zbl 1524.65760 Numer. Math., Theory Methods Appl. 15, No. 4, 1193-1218 (2022). MSC: 65N30 35P05 65N12 65N15 65R20 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{W. Lei}, Numer. Math., Theory Methods Appl. 15, No. 4, 1193--1218 (2022; Zbl 1524.65760) Full Text: DOI arXiv
Dal Maso, Gianni; Heltai, Luca A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. (English) Zbl 1471.65183 J. Convex Anal. 28, No. 2, 535-548 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65N30 35J05 35J25 74A45 74C05 74B10 74R10 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{L. Heltai}, J. Convex Anal. 28, No. 2, 535--548 (2021; Zbl 1471.65183) Full Text: arXiv Link
Sváček, Petr On implementation aspects of finite element method and its application. (English) Zbl 1433.65313 Adv. Comput. Math. 45, No. 4, 2065-2081 (2019). Reviewer: Olaf Hansen (San Marcos) MSC: 65N30 76D05 35Q30 76D07 35J05 PDFBibTeX XMLCite \textit{P. Sváček}, Adv. Comput. Math. 45, No. 4, 2065--2081 (2019; Zbl 1433.65313) Full Text: DOI
Beams, Natalie N.; Klöckner, Andreas; Olson, Luke N. High-order finite element-integral equation coupling on embedded meshes. (English) Zbl 1416.65432 J. Comput. Phys. 375, 1295-1313 (2018). MSC: 65N30 65N85 65N15 65R20 35J05 PDFBibTeX XMLCite \textit{N. N. Beams} et al., J. Comput. Phys. 375, 1295--1313 (2018; Zbl 1416.65432) Full Text: DOI arXiv
Toulopoulos, Ioannis; Wick, Thomas Numerical methods for power-law diffusion problems. (English) Zbl 1365.65263 SIAM J. Sci. Comput. 39, No. 3, A681-A710 (2017). MSC: 65N30 35J60 35J92 65N15 PDFBibTeX XMLCite \textit{I. Toulopoulos} and \textit{T. Wick}, SIAM J. Sci. Comput. 39, No. 3, A681--A710 (2017; Zbl 1365.65263) Full Text: DOI
Kirby, Robert C. High-performance evaluation of finite element variational forms via commuting diagrams and duality. (English) Zbl 1371.65120 ACM Trans. Math. Softw. 40, No. 4, Article No. 25, 24 p. (2014). MSC: 65N30 65Y20 35J05 35Q61 PDFBibTeX XMLCite \textit{R. C. Kirby}, ACM Trans. Math. Softw. 40, No. 4, Article No. 25, 24 p. (2014; Zbl 1371.65120) Full Text: DOI
Bonito, Andrea; Glowinski, Roland On the nodal set of the eigenfunctions of the Laplace-Beltrami operator for bounded surfaces in \(\mathbb R^3\): a computational approach. (English) Zbl 1304.65244 Commun. Pure Appl. Anal. 13, No. 5, 2115-2126 (2014). MSC: 65N25 35P15 65N30 58J05 PDFBibTeX XMLCite \textit{A. Bonito} and \textit{R. Glowinski}, Commun. Pure Appl. Anal. 13, No. 5, 2115--2126 (2014; Zbl 1304.65244) Full Text: DOI
Janssen, Bärbel; Kanschat, Guido Adaptive multilevel methods with local smoothing for \(H^1\)- and \(H^{\text{curl}}\)-conforming high order finite element methods. (English) Zbl 1230.65133 SIAM J. Sci. Comput. 33, No. 4, 2095-2114 (2011). MSC: 65N55 65N30 35J05 35Q61 78M10 78A25 65N12 PDFBibTeX XMLCite \textit{B. Janssen} and \textit{G. Kanschat}, SIAM J. Sci. Comput. 33, No. 4, 2095--2114 (2011; Zbl 1230.65133) Full Text: DOI
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
Prill, Florian; Lukáčová-Medvidová, Maria; Hartmann, Ralf Smoothed aggregation multigrid for the discontinuous Galerkin method. (English) Zbl 1200.35059 SIAM J. Sci. Comput. 31, No. 5, 3503-3528 (2009). MSC: 35J05 35J25 35Q30 65F10 65M22 65M55 65N30 65N35 PDFBibTeX XMLCite \textit{F. Prill} et al., SIAM J. Sci. Comput. 31, No. 5, 3503--3528 (2009; Zbl 1200.35059) Full Text: DOI
Hartmann, R.; Lukáčová-Medvid’ová, M.; Prill, F. Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements. (English) Zbl 1171.65078 Appl. Numer. Math. 59, No. 8, 1737-1753 (2009). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 35J05 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{R. Hartmann} et al., Appl. Numer. Math. 59, No. 8, 1737--1753 (2009; Zbl 1171.65078) 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
Suttmeier, F. T. On concepts of PDE-software: The cellwise oriented approach in DEAL. (English) Zbl 1188.65155 Int. Math. Forum 2, No. 1-4, 1-20 (2007). MSC: 65N30 65N55 65N50 65Y15 68W30 35J05 65N99 PDFBibTeX XMLCite \textit{F. T. Suttmeier}, Int. Math. Forum 2, No. 1--4, 1--20 (2007; Zbl 1188.65155) Full Text: DOI Link
Kanschat, Guido Preconditioning methods for local discontinuous Galerkin discretizations. (English) Zbl 1048.65110 SIAM J. Sci. Comput. 25, No. 3, 815-831 (2003). Reviewer: H. P. Dikshit (New Delhi) MSC: 65N30 65F10 65F35 65N55 35J05 35Q30 PDFBibTeX XMLCite \textit{G. Kanschat}, SIAM J. Sci. Comput. 25, No. 3, 815--831 (2003; Zbl 1048.65110) Full Text: DOI