A Note on Galerkin's Method for Nonlinear Equations.
Satzish Shirali (1970)
Aequationes mathematicae
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Displaying similar documents to “Galerkin methods for nonlinear Sobolev equations.”
A Note on Galerkin's Method for Nonlinear Equations.
Error Estimates of a Galerkin Method for Some Nonlinear Sobolev Equations in one Space Dimension.
Mitsuhiro T. Nakao (1985)
Numerische Mathematik
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Nonlinear Galerkin Methods: The Finite Elements Case.
M. Marion, R. Temam (1990)
Numerische Mathematik
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A Note on Galerkin's Method for Nonlinear Equations. (Short Communication).
Satish Shirali (1969)
Aequationes mathematicae
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Convergence of Finite Element Galerkin Approximations on Galerkin Problems
J. A. Nitsche (1978)
Publications mathématiques et informatique de Rennes
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Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Hans-Peter Helfrich (1987)
Numerische Mathematik
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On Gardings inequality.
Niels Jacob, Bernd Schomburg (1986)
Aequationes mathematicae
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Symmetric interior penalty discontinuous Galerkin method for nonlinear fully coupled quasi-static thermo-poroelasticity problems
Fan Chen, Ming Cui, Chenguang Zhou (2025)
Applications of Mathematics
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We propose a symmetric interior penalty discontinuous Galerkin (DG) method for nonlinear fully coupled quasi-static thermo-poroelasticity problems. Firstly, a fully implicit nonlinear discrete scheme is constructed by adopting the DG method for the spatial approximation and the backward Euler method for the temporal discretization. Subsequently, the existence and uniqueness of the solution of the numerical scheme is proved, and then we derive the a priori error estimate for the three...
-error estimates of the extrapolated Crank-Nicolson discontinuous Galerkin approximations for nonlinear Sobolev equations.
Ohm, Mi Ray, Lee, Hyun Young, Shin, Jun Yong (2010)
Journal of Inequalities and Applications [electronic only]
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Discontinuous Galerkin and the Crouzeix–Raviart element : application to elasticity
Peter Hansbo, Mats G. Larson (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the displacements. We show optimal order a priori error estimates, uniform in the incompressible limit, and thus locking is avoided. The discontinuous Galerkin method is closely related to the non-conforming Crouzeix–Raviart (CR) element, which in fact is obtained when one of the stabilizing parameters tends to infinity. In the case of the elasticity operator, for...
Error Bounds for the Solution of Nonlinear Two-point Boundary Value Problems by Galerkin's Method.
J.J. Blair (1972)
Numerische Mathematik
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Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods
Thirupathi Gudi, Johnny Guzmán (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large enough to stabilize the method. A central idea in the analysis is to construct an auxiliary solution from the discontinuous Galerkin solution by a simple post processing. Based on the auxiliary solution, we define the adaptive algorithm...