A DUAL LEAST-SQUARES FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC PDES: A NUMERICAL STUDY
. In this paper, we develop a least-squares finite element method for linear Partial Differential Equations (PDEs) of hyperbolic type. This formulation allows for discontinuities in the numerical approximation and yields a linear system which can be ...
Luke Olson
core
A Posteriori Error Analysis for a Coupled Stokes-Poroelastic System with Multiple Compartments. [PDF]
Fumagalli I, Parolini N, Verani M.
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Extrapolation Techniques For Constructing Higher Order Finite Element Methods
. The p-version of the finite element methods requires the exact calculation of the stiffness matrix by a special form of numerical integration. As an alternative to classical techniques that are based on Gauß quadrature, we propose to use low order ...
U. R Ude, U. Rüde
core
Application of randomized quadrature formulas to the finite element method for elliptic equations. [PDF]
Kruse R, Polydorides N, Wu Y.
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H 1 -conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes. [PDF]
Bonizzoni F, Kanschat G.
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A parameter-free stabilized finite element method for scalar advection-diffusion problems
Bochev Pavel, Peterson Kara
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DIRECT MEDICAL IMAGE TO SIMULATION USING AUTO-SEGMENTATION AND POINT CLOUD-BASED CFD. [PDF]
Corpuz AM +5 more
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Low-Complexity Finite Element Algorithms for the De Rham Complex on Simplices
. We combine recently-developed finite element algorithms based on Bernstein polynomials [1, 14] with the explicit basis construction of the finite element exterior calculus [5] to give a family of algorithms for the Rham complex on simplices that ...
Robert C. Kirby
core
Serendipity discrete complexes with enhanced regularity. [PDF]
Di Pietro DA, Hanot M, Salah M, Salah M.
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An analysis of the TDNNS method using natural norms. [PDF]
Pechstein AS, Schöberl J.
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