Search Results - "Christiansen, Snorre Harald"

Finite element systems of differential forms by Christiansen, Snorre Harald

“…Acta Numerica, Vol. 20, May 2011, p. 1-119 We develop the theory of mixed finite elements in terms of special inverse systems of complexes of differential…”
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Generalized Finite Element Systems for smooth differential forms and Stokes problem by Christiansen, Snorre Harald, Hu, Kaibo

“…We provide both a general framework for discretizing de Rham sequences of differential forms of high regularity, and some examples of finite element spaces…”
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Exact formulas for the approximation of connections and curvature by Christiansen, Snorre Harald

“…First we express the holonomy along a boundary curve as the integral on the domain, of an expression which is linear in the curvature. Then we provide a…”
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Second order gauge invariant discretizations to the Schr\"odinger and Pauli equations by Christiansen, Snorre Harald, Halvorsen, Tore Gunnar

“…We introduce a numerical method, based on finite elements and lattice gauge theory, to compute approximate solutions to Schr\"odinger and Pauli equations. The…”
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On high order finite element spaces of differential forms by Christiansen, Snorre Harald, Rapetti, Francesca

“…We show how the high order finite element spaces of differential forms due to Raviart-Thomas-N\'edelec-Hiptmair fit into the framework of finite element…”
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Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension by Christiansen, Snorre Harald

“…Numerische Mathematik, Vol. 107, No. 1, p. 87-106, 2007 We elaborate on the interpretation of some mixed finite element spaces in terms of differential forms…”
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On variational eigenvalue approximation of semidefinite operators by Christiansen, Snorre Harald, Winther, Ragnar

“…IMA J. Numer. Anal., Vol. 33, No. 1, p. 164-189, 2013 Eigenvalue problems for semidefinite operators with infinite dimensional kernels appear for instance in…”
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A simplicial gauge theory by Christiansen, Snorre Harald, Halvorsen, Tore Gunnar

“…J. Math. Phys., Vol. 53, No. 3, p. 033501+17, 2012 We provide an action for gauge theories discretized on simplicial meshes, inspired by finite element…”
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