Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes

Ramon Codina; Joan Baiges

doi:10.1002/nme.4815

Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4815 ◽

2014 ◽

Vol 104 (7) ◽

pp. 624-654 ◽

Cited By ~ 8

Author(s):

Ramon Codina ◽

Joan Baiges

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Element Approximation

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Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains

Applications of Mathematics ◽

10.21136/am.1984.104095 ◽

1984 ◽

Vol 29 (4) ◽

pp. 272-285

Author(s):

Michal Křížek ◽

Pekka Neittaanmäki

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Finite Element Approximation ◽

Element Approximation ◽

Smooth Plane

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Finite element approximation to buoyancy-driven flows with cyclic boundary conditions

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(85)90069-6 ◽

1985 ◽

Vol 48 (1) ◽

pp. 91-100 ◽

Cited By ~ 4

Author(s):

J.C. Heinrich

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Approximation ◽

Element Approximation ◽

Buoyancy Driven Flows

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Finite element approximation of time optimal control problems for parabolic equations with Dirichelt boundary conditions

System Modeling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006155 ◽

2005 ◽

pp. 354-361

Author(s):

Irena Lasiecka

Keyword(s):

Optimal Control ◽

Finite Element ◽

Boundary Conditions ◽

Parabolic Equations ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Time Optimal Control ◽

Control Problems ◽

Element Approximation ◽

Time Optimal

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Penalty: finite element approximation of Stokes equations with slip boundary conditions

Numerische Mathematik ◽

10.1007/s00211-014-0646-9 ◽

2014 ◽

Vol 129 (3) ◽

pp. 587-610 ◽

Cited By ~ 9

Author(s):

Ibrahima Dione ◽

José M. Urquiza

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Stokes Equations ◽

Finite Element Approximation ◽

Element Approximation ◽

Slip Boundary Conditions ◽

Slip Boundary

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Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems

SIAM Journal on Numerical Analysis ◽

10.1137/100813853 ◽

2012 ◽

Vol 50 (1) ◽

pp. 194-215 ◽

Cited By ~ 46

Author(s):

Carlo D'Angelo

Keyword(s):

Finite Element ◽

Three Dimensional ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Weighted Spaces ◽

Dirac Measure ◽

Element Approximation ◽

Coupled Problems

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Finite element approximation for some quasilinear elliptic problems

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00085-5 ◽

1998 ◽

Vol 96 (1) ◽

pp. 13-25 ◽

Cited By ~ 6

Author(s):

Yuki Matsuzawa

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Element Approximation ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Numerical Experiments Using MATLAB: Superconvergence of Nonconforming Finite Element Approximation for Second-Order Elliptic Problems

Applied Mathematics ◽

10.4236/am.2016.717173 ◽

2016 ◽

Vol 07 (17) ◽

pp. 2174-2182

Author(s):

Anna Harris ◽

Stephen Harris ◽

Danielle Rauls

Keyword(s):

Finite Element ◽

Numerical Experiments ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Second Order ◽

Element Approximation ◽

Nonconforming Finite Element ◽

Second Order Elliptic Problems

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Error analysis for the finite element approximation of the Darcy–Brinkman–Forchheimer model for porous media with mixed boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113008 ◽

2021 ◽

Vol 381 ◽

pp. 113008

Author(s):

Pierre-Henri Cocquet ◽

Michaël Rakotobe ◽

Delphine Ramalingom ◽

Alain Bastide

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Analysis ◽

Boundary Conditions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Finite Element Approximation ◽

Element Approximation ◽

Forchheimer Model

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Finite element approximation of some indefinite elliptic problems

CALCOLO ◽

10.1007/bf02575842 ◽

1988 ◽

Vol 25 (4) ◽

pp. 379-395 ◽

Cited By ~ 3

Author(s):

I. Capuzzo Dolcetta ◽

S. Finzi Vita

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Element Approximation

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Finite element approximation of nonlinear elliptic problems with discontinuous coefficients

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1990240404571 ◽

1990 ◽

Vol 24 (4) ◽

pp. 457-500 ◽

Cited By ~ 26

Author(s):

Miloslav Feistauer ◽

Veronika Sobotíková

Keyword(s):

Finite Element ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Discontinuous Coefficients ◽

Element Approximation ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic

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