Christiansen, Snorre H.; Gopalakrishnan, Jay; Guzmán, Johnny; Hu, Kaibo A discrete elasticity complex on three-dimensional Alfeld splits. (English) Zbl 07802485 Numer. Math. 156, No. 1, 159-204 (2024). MSC: 65N30 74B05 35Q74 58A12 PDFBibTeX XMLCite \textit{S. H. Christiansen} et al., Numer. Math. 156, No. 1, 159--204 (2024; Zbl 07802485) Full Text: DOI arXiv
Christiansen, Snorre H.; Halvorsen, Tore G.; Scheid, Claire Convergence of a discretization of the Maxwell-Klein-Gordon equation based on finite element methods and lattice gauge theory. (English) Zbl 07777355 Numer. Methods Partial Differ. Equations 39, No. 4, 3271-3308 (2023). MSC: 65M60 65M06 65N30 81T13 81T25 81V10 35Q40 PDFBibTeX XMLCite \textit{S. H. Christiansen} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3271--3308 (2023; Zbl 07777355) Full Text: DOI OA License
Christiansen, Snorre H.; Hu, Kaibo Finite element systems for vector bundles: elasticity and curvature. (English) Zbl 1512.65262 Found. Comput. Math. 23, No. 2, 545-596 (2023). MSC: 65N30 74B10 58A10 58A12 74S05 35Q74 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{K. Hu}, Found. Comput. Math. 23, No. 2, 545--596 (2023; Zbl 1512.65262) Full Text: DOI arXiv
Christiansen, Snorre H.; Hu, Kaibo Generalized finite element systems for smooth differential forms and Stokes’ problem. (English) Zbl 1402.65153 Numer. Math. 140, No. 2, 327-371 (2018). MSC: 65N30 58A12 76D07 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{K. Hu}, Numer. Math. 140, No. 2, 327--371 (2018; Zbl 1402.65153) Full Text: DOI arXiv
Christiansen, Snorre H.; Hu, Jun; Hu, Kaibo Nodal finite element de Rham complexes. (English) Zbl 1397.65256 Numer. Math. 139, No. 2, 411-446 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 58A12 PDFBibTeX XMLCite \textit{S. H. Christiansen} et al., Numer. Math. 139, No. 2, 411--446 (2018; Zbl 1397.65256) Full Text: DOI arXiv
Christiansen, Snorre H.; Gillette, Andrew Constructions of some minimal finite element systems. (English) Zbl 1343.65135 ESAIM, Math. Model. Numer. Anal. 50, No. 3, 833-850 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{A. Gillette}, ESAIM, Math. Model. Numer. Anal. 50, No. 3, 833--850 (2016; Zbl 1343.65135) Full Text: DOI arXiv
Christiansen, Snorre H.; Rapetti, Francesca On high order finite element spaces of differential forms. (English) Zbl 1332.65163 Math. Comput. 85, No. 298, 517-548 (2016). MSC: 65N30 58A10 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{F. Rapetti}, Math. Comput. 85, No. 298, 517--548 (2016; Zbl 1332.65163) Full Text: DOI arXiv
Christiansen, Snorre H.; Halvorsen, Tore G. A simplicial gauge theory. (English) Zbl 1274.81159 J. Math. Phys. 53, No. 3, 033501, 17 p. (2012). MSC: 81T13 81T25 81R05 39A12 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{T. G. Halvorsen}, J. Math. Phys. 53, No. 3, 033501, 17 p. (2012; Zbl 1274.81159) Full Text: DOI arXiv
Christiansen, Snorre H. On the linearization of Regge calculus. (English) Zbl 1269.83022 Numer. Math. 119, No. 4, 613-640 (2011). MSC: 83C27 83C25 83C30 83C05 83C40 81T20 83-08 35L15 PDFBibTeX XMLCite \textit{S. H. Christiansen}, Numer. Math. 119, No. 4, 613--640 (2011; Zbl 1269.83022) Full Text: DOI arXiv
Christiansen, Snorre H.; Munthe-Kaas, Hans Z.; Owren, Brynjulf Topics in structure-preserving discretization. (English) Zbl 1233.65087 Acta Numerica 20, 1-119 (2011). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 65-02 35J25 PDFBibTeX XMLCite \textit{S. H. Christiansen} et al., Acta Numerica 20, 1--119 (2011; Zbl 1233.65087) Full Text: DOI arXiv
Christiansen, Snorre H. Minimal mixed finite elements on polyhedra. (Éléments finis mixtes minimaux sur les polyèdres.) (French. Abridged English version) Zbl 1186.65148 C. R., Math., Acad. Sci. Paris 348, No. 3-4, 217-221 (2010). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{S. H. Christiansen}, C. R., Math., Acad. Sci. Paris 348, No. 3--4, 217--221 (2010; Zbl 1186.65148) Full Text: DOI
Christiansen, Snorre H.; Halvorsen, Tore Gunnar Convergence of lattice gauge theory for Maxwell’s equations. (English) Zbl 1184.78079 BIT 49, No. 4, 645-667 (2009). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M20 35Q61 65M06 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{T. G. Halvorsen}, BIT 49, No. 4, 645--667 (2009; Zbl 1184.78079) Full Text: DOI
Christiansen, Snorre H. On the div-curl lemma in a Galerkin setting. (English) Zbl 1177.65170 Calcolo 46, No. 3, 211-220 (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 35D30 35J25 PDFBibTeX XMLCite \textit{S. H. Christiansen}, Calcolo 46, No. 3, 211--220 (2009; Zbl 1177.65170) Full Text: DOI Link
Christiansen, Snorre H. A construction of spaces of compatible differential forms on cellular complexes. (English) Zbl 1153.65005 Math. Models Methods Appl. Sci. 18, No. 5, 739-757 (2008). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 58A10 78M10 PDFBibTeX XMLCite \textit{S. H. Christiansen}, Math. Models Methods Appl. Sci. 18, No. 5, 739--757 (2008; Zbl 1153.65005) Full Text: DOI
Christiansen, Snorre H.; Winther, Ragnar Smoothed projections in finite element exterior calculus. (English) Zbl 1140.65081 Math. Comput. 77, No. 262, 813-829 (2008). Reviewer: Ziwen Jiang (Shandong) MSC: 65N30 53A45 65N50 35J25 PDFBibTeX XMLCite \textit{S. H. Christiansen} and \textit{R. Winther}, Math. Comput. 77, No. 262, 813--829 (2008; Zbl 1140.65081) Full Text: DOI
Buffa, Annalisa; Christiansen, Snorre H. A dual finite element complex on the barycentric refinement. (English) Zbl 1130.65108 Math. Comput. 76, No. 260, 1743-1769 (2007). Reviewer: Dietrich Braess (Bochum) MSC: 65N12 65N30 65N50 PDFBibTeX XMLCite \textit{A. Buffa} and \textit{S. H. Christiansen}, Math. Comput. 76, No. 260, 1743--1769 (2007; Zbl 1130.65108) Full Text: DOI
Christiansen, Snorre H. Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension. (English) Zbl 1127.65085 Numer. Math. 107, No. 1, 87-106 (2007). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N30 58A10 58A14 58J05 35J25 PDFBibTeX XMLCite \textit{S. H. Christiansen}, Numer. Math. 107, No. 1, 87--106 (2007; Zbl 1127.65085) Full Text: DOI arXiv
Buffa, Annalisa; Christiansen, Snorre H. A dual finite element complex on the barycentric refinement. (English) Zbl 1068.65140 C. R., Math., Acad. Sci. Paris 340, No. 6, 461-464 (2005). MSC: 65N50 65N30 78M10 PDFBibTeX XMLCite \textit{A. Buffa} and \textit{S. H. Christiansen}, C. R., Math., Acad. Sci. Paris 340, No. 6, 461--464 (2005; Zbl 1068.65140) Full Text: DOI
Christiansen, Snorre H. A characterization of second-order differential operators on finite element spaces. (English) Zbl 1076.83008 Math. Models Methods Appl. Sci. 14, No. 12, 1881-1892 (2004). Reviewer: Alex Gaina (Chisinau) MSC: 83C27 58J99 58J60 65Z05 65L60 PDFBibTeX XMLCite \textit{S. H. Christiansen}, Math. Models Methods Appl. Sci. 14, No. 12, 1881--1892 (2004; Zbl 1076.83008) Full Text: DOI
Christiansen, Snorre H. Discrete Fredholm properties and convergence estimates for the electric field integral equation. (English) Zbl 1034.65089 Math. Comput. 73, No. 245, 143-167 (2004). Reviewer: Gunther Schmidt (Berlin) MSC: 65N12 65N38 78M15 65N15 35Q60 35J05 78A45 PDFBibTeX XMLCite \textit{S. H. Christiansen}, Math. Comput. 73, No. 245, 143--167 (2004; Zbl 1034.65089) Full Text: DOI
Christiansen, Snorre H. Uniformly stable preconditioned mixed boundary element method for low-frequency electromagnetic scattering. (English) Zbl 1032.78020 C. R., Math., Acad. Sci. Paris 336, No. 8, 677-680 (2003). MSC: 78M15 78M10 78A45 35Q60 PDFBibTeX XMLCite \textit{S. H. Christiansen}, C. R., Math., Acad. Sci. Paris 336, No. 8, 677--680 (2003; Zbl 1032.78020) Full Text: DOI