$L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

Todd Dupont

doi:10.1137/0710073

$L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0710073 ◽

1973 ◽

Vol 10 (5) ◽

pp. 880-889 ◽

Cited By ~ 176

Author(s):

Todd Dupont

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Galerkin Methods

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$L_\infty $ Estimates of Optimal Orders for Galerkin Methods for One-Dimensional Second Order Parabolic and Hyperbolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0710076 ◽

1973 ◽

Vol 10 (5) ◽

pp. 908-913 ◽

Cited By ~ 35

Author(s):

Mary Fanett Wheeler

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Galerkin Methods ◽

One Dimensional

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On the efficiency of some fully discrete Galerkin methods for second-order hyperbolic equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(81)90086-9 ◽

1981 ◽

Vol 7 (3) ◽

pp. 261-279 ◽

Cited By ~ 4

Author(s):

Vassilios A. Dougalis ◽

Steven M. Serbin

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Galerkin Methods ◽

Fully Discrete

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Cited By ~ 5

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Existence and convergence of Galerkin approximation for second order hyperbolic equations with memory term

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22006 ◽

2015 ◽

Vol 32 (2) ◽

pp. 548-563

Author(s):

Fardin Saedpanah

Keyword(s):

Hyperbolic Equations ◽

Galerkin Approximation ◽

Second Order ◽

Memory Term ◽

With Memory

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The cauchy problem for weakly hyperbolic equations of second order

Communications in Partial Differential Equations ◽

10.1080/03605308008820169 ◽

1980 ◽

Vol 5 (12) ◽

pp. 1273-1296 ◽

Cited By ~ 27

Author(s):

Tatsuo Nishitani

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equations ◽

Second Order ◽

The Cauchy Problem

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Singularities of the solution of a mixed problem for second-order hyperbolic equations in domains with a piecewise smooth boundary

Russian Mathematical Surveys ◽

10.1070/rm1982v037n01abeh003215 ◽

1982 ◽

Vol 37 (1) ◽

pp. 168-169 ◽

Cited By ~ 3

Author(s):

I I Mel'nikov

Keyword(s):

Mixed Problem ◽

Smooth Boundary ◽

Hyperbolic Equations ◽

Second Order ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary

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Remarks on $L^2$-well-posed mixed problems for hyperbolic equations of second order

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1381758982 ◽

1973 ◽

Vol 2 (2) ◽

pp. 214-230 ◽

Cited By ~ 2

Author(s):

Rentaro AGEMI

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Mixed Problems ◽

Well Posed

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Second-order equations: hyperbolic equations for functions of two independent variables

Partial Differential Equations - Applied Mathematical Sciences ◽

10.1007/978-1-4684-0059-5_2 ◽

1978 ◽

pp. 31-51

Author(s):

Fritz John

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Independent Variables ◽

Second Order Equations ◽

Two Independent Variables

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Systems of Two Second-Order Klein–Gordon Type Hyperbolic Equations

Handbook of Nonlinear Partial Differential Equations, Second Edition ◽

10.1201/b11412-20 ◽

2011 ◽

pp. 1173-1184

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Klein Gordon

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