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Keyword

finite element approximation

Description: A numerical approximation method that represents a problem’s solution using finite element spaces, often for differential equations in engineering and applied mathematics.
OpenAlex ID: keywords/finite-element-approximation
A dual algorithm for the solution of nonlinear variational problems via finite element approximation
1976 · Daniel Gabay, Bertrand Mercier · Computers & Mathematics with Applications · 2,516
A mixed finite element method for 2-nd order elliptic problems
1977 · P. A. Raviart, J. M. Thomas · Lecture notes in mathematics · 2,300
A posteriori error estimation in finite element analysis
1997 · Mark Ainsworth, J.Tinsley Oden · Computer Methods in Applied Mechanics and Engineering · 2,166
Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods
1987 · Norio Kikuchi, J. Tinsley Oden · Medical Entomology and Zoology · 1,478
Finite Element Approximation of the Navier-Stokes Equations
1979 · Vivette Girault, Pierre-Arnaud Raviart · Lecture notes in mathematics · 1,233
Filters in topology optimization
2001 · Blaise Bourdin · International Journal for Numerical Methods in Engineering · 1,222
Sur l'approximation, par éléments finis d'ordre un, et la résolution, par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires
1975 · R. Glowinski, A. Marroco · Revue française d automatique informatique recherche opérationnelle Analyse numérique · 1,159
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Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
1990 · John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 993
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
2008 · F. Nobile, R. Tempone, et al. · SIAM Journal on Numerical Analysis · 942
Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
1982 · John G. Heywood, Rolf Rannacher · SIAM Journal on Numerical Analysis · 861
Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity
2002 · Weimin Han, Mircea Sofonea · AMS/IP studies in advanced mathematics · 679
Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
1992 · Qiang Du, Max D. Gunzburger, et al. · SIAM Review · 441
On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
1999 · S. Prudhomme, J.T. Oden · Computer Methods in Applied Mechanics and Engineering · 370
Error estimates for finite element method solution of the Stokes problem in the primitive variables
1979 · M. Bercovier, O. Pironneau · Numerische Mathematik · 352
A finite element method for some integral equations of the first kind
1977 · George C Hsiao, Wolfgang L Wendland · Journal of Mathematical Analysis and Applications · 340
Relaxation in Optimization Theory and Variational Calculus
1997 · Tomáš Roubíček · De Gruyter eBooks · 333
On some techniques for approximating boundary conditions in the finite element method
1995 · Rolf Stenberg · Journal of Computational and Applied Mathematics · 304
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A Posteriori Error Estimates Based on Hierarchical Bases
1993 · Randolph E. Bank, R. Kent Smith · SIAM Journal on Numerical Analysis · 301
Finite element approximation for optimal shape design, theory and applications
1989 · Mathematics and Computers in Simulation · 298
The Cahn-Hilliard Model for the Kinetics of Phase Separation
1989 · C. M. Elliott · Birkhäuser Basel eBooks · 290
Variational solution of fractional advection dispersion equations on bounded domains in ℝd
2006 · Vincent J. Ervin, John Paul Roop · Numerical Methods for Partial Differential Equations · 264
Weighted regularization of Maxwell equations in polyhedral domains
2002 · Martin Costabel, Monique Dauge · Numerische Mathematik · 256
Locking effects in the finite element approximation of elasticity problems
1992 · Ivo Babuška, Manil Suri · Numerische Mathematik · 254
Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
1999 · John W. Barrett, James F. Blowey, et al. · SIAM Journal on Numerical Analysis · 252
Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
2007 · Marco Discacciati, Alfio Quarteroni, et al. · SIAM Journal on Numerical Analysis · 244
Works count: 3,087
Citation count: 56,480
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