Chun, Sehun Relative acceleration of orthonormal basis vectors for the geometric conduction blocks of the cardiac electric signal propagation on anisotropic curved surfaces. (English) Zbl 07785578 J. Comput. Phys.: X 17, Article ID 100135, 17 p. (2023). MSC: 65Mxx 35Kxx 35Qxx PDFBibTeX XMLCite \textit{S. Chun}, J. Comput. Phys.: X 17, Article ID 100135, 17 p. (2023; Zbl 07785578) Full Text: DOI
Chun, Sehun High-order method with moving frames to compute the covariant derivatives of vectors on general 2D curved surfaces. (English) Zbl 07776129 Commun. Appl. Math. Comput. 5, No. 4, 1534-1563 (2023). MSC: 65M60 78M10 PDFBibTeX XMLCite \textit{S. Chun}, Commun. Appl. Math. Comput. 5, No. 4, 1534--1563 (2023; Zbl 07776129) Full Text: DOI OA License
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
Moxey, David; Cantwell, Chris D.; Bao, Yan; Cassinelli, Andrea; Castiglioni, Giacomo; Chun, Sehun; Juda, Emilia; Kazemi, Ehsan; Lackhove, Kilian; Marcon, Julian; Mengaldo, Gianmarco; Serson, Douglas; Turner, Michael; Xu, Hui; Peiró, Joaquim; Kirby, Robert M.; Sherwin, Spencer J. Nektar++: enhancing the capability and application of high-fidelity spectral/\(hp\) element methods. (English) Zbl 07678500 Comput. Phys. Commun. 249, Article ID 107110, 18 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{D. Moxey} et al., Comput. Phys. Commun. 249, Article ID 107110, 18 p. (2020; Zbl 07678500) Full Text: DOI arXiv
Moayeri, M. M.; Rad, J. A.; Parand, K. Dynamical behavior of reaction-diffusion neural networks and their synchronization arising in modeling epileptic seizure: a numerical simulation study. (English) Zbl 1453.92078 Comput. Math. Appl. 80, No. 8, 1887-1927 (2020). MSC: 92C32 92B20 92B25 PDFBibTeX XMLCite \textit{M. M. Moayeri} et al., Comput. Math. Appl. 80, No. 8, 1887--1927 (2020; Zbl 1453.92078) Full Text: DOI
Pan, Qing; Rabczuk, Timon; Xu, Gang; Chen, Chong Isogeometric analysis for surface PDEs with extended Loop subdivision. (English) Zbl 1453.65413 J. Comput. Phys. 398, Article ID 108892, 22 p. (2019). MSC: 65N30 65N15 35R01 PDFBibTeX XMLCite \textit{Q. Pan} et al., J. Comput. Phys. 398, Article ID 108892, 22 p. (2019; Zbl 1453.65413) Full Text: DOI arXiv
Pegolotti, Luca; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria. (English) Zbl 1440.78006 Comput. Methods Appl. Mech. Eng. 343, 52-73 (2019). MSC: 78M10 92-08 65M60 65D07 78A35 92C30 PDFBibTeX XMLCite \textit{L. Pegolotti} et al., Comput. Methods Appl. Mech. Eng. 343, 52--73 (2019; Zbl 1440.78006) Full Text: DOI
Hurtado, Daniel E.; Rojas, Guillermo Non-conforming finite-element formulation for cardiac electrophysiology: an effective approach to reduce the computation time of heart simulations without compromising accuracy. (English) Zbl 1446.35222 Comput. Mech. 61, No. 4, 485-497 (2018). MSC: 35Q92 65M60 35K57 92-10 PDFBibTeX XMLCite \textit{D. E. Hurtado} and \textit{G. Rojas}, Comput. Mech. 61, No. 4, 485--497 (2018; Zbl 1446.35222) Full Text: DOI
Patelli, Alessandro S.; Dedè, Luca; Lassila, Toni; Bartezzaghi, Andrea; Quarteroni, Alfio Isogeometric approximation of cardiac electrophysiology models on surfaces: an accuracy study with application to the human left atrium. (English) Zbl 1439.76090 Comput. Methods Appl. Mech. Eng. 317, 248-273 (2017). MSC: 76M10 65M60 65D07 74L15 92C30 PDFBibTeX XMLCite \textit{A. S. Patelli} et al., Comput. Methods Appl. Mech. Eng. 317, 248--273 (2017; Zbl 1439.76090) Full Text: DOI
Moxey, D.; Cantwell, C. D.; Kirby, R. M.; Sherwin, S. J. Optimising the performance of the spectral/\(hp\) element method with collective linear algebra operations. (English) Zbl 1439.65206 Comput. Methods Appl. Mech. Eng. 310, 628-645 (2016). MSC: 65N35 65N22 65N30 PDFBibTeX XMLCite \textit{D. Moxey} et al., Comput. Methods Appl. Mech. Eng. 310, 628--645 (2016; Zbl 1439.65206) Full Text: DOI
Zander, Nils; Bog, Tino; Elhaddad, Mohamed; Frischmann, Felix; Kollmannsberger, Stefan; Rank, Ernst The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes. (English) Zbl 1439.65201 Comput. Methods Appl. Mech. Eng. 310, 252-277 (2016). MSC: 65N30 PDFBibTeX XMLCite \textit{N. Zander} et al., Comput. Methods Appl. Mech. Eng. 310, 252--277 (2016; Zbl 1439.65201) Full Text: DOI
Krause, D.; Krause, R. Enabling local time stepping in the parallel implicit solution of reaction-diffusion equations via space-time finite elements on shallow tree meshes. (English) Zbl 1410.65373 Appl. Math. Comput. 277, 164-179 (2016). MSC: 65M60 35K57 65M50 65Y05 PDFBibTeX XMLCite \textit{D. Krause} and \textit{R. Krause}, Appl. Math. Comput. 277, 164--179 (2016; Zbl 1410.65373) Full Text: DOI
Ferroni, Alberto; Formaggia, Luca; Fumagalli, Alessio Numerical analysis of Darcy problem on surfaces. (English) Zbl 1457.65195 ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1615-1630 (2016). MSC: 65N30 65N15 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{A. Ferroni} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 6, 1615--1630 (2016; Zbl 1457.65195) Full Text: DOI Link
Cantwell, C. D.; Moxey, D.; Comerford, A.; Bolis, A.; Rocco, G.; Mengaldo, G.; De Grazia, D.; Yakovlev, S.; Lombard, J.-E.; Ekelschot, D.; Jordi, B.; Xu, H.; Mohamied, Y.; Eskilsson, C.; Nelson, B.; Vos, P.; Biotto, C.; Kirby, R. M.; Sherwin, S. J. Nektar++: an open-source spectral/\(hp\) element framework. (English) Zbl 1380.65465 Comput. Phys. Commun. 192, 205-219 (2015). MSC: 65Y15 65M60 76M10 PDFBibTeX XMLCite \textit{C. D. Cantwell} et al., Comput. Phys. Commun. 192, 205--219 (2015; Zbl 1380.65465) Full Text: DOI
Lu, Qiukai; Shephard, Mark S. Development of unstructured curved meshes with \(C^1\) surface continuity for high-order finite element simulations. (English) Zbl 1352.65357 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 335-343 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65M60 65M50 PDFBibTeX XMLCite \textit{Q. Lu} and \textit{M. S. Shephard}, Lect. Notes Comput. Sci. Eng. 106, 335--343 (2015; Zbl 1352.65357) Full Text: DOI