An estimate for the convergence rate of difference schemes for second-order elliptic equations in domains of arbitrary shape

S. A. Voitsekhovsky

doi:10.1007/bf02367985

An estimate for the convergence rate of difference schemes for second-order elliptic equations in domains of arbitrary shape

Journal of Mathematical Sciences ◽

10.1007/bf02367985 ◽

1995 ◽

Vol 77 (5) ◽

pp. 3406-3409

Author(s):

S. A. Voitsekhovsky

Keyword(s):

Convergence Rate ◽

Elliptic Equations ◽

Arbitrary Shape ◽

Second Order ◽

Difference Schemes ◽

Second Order Elliptic Equations

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Variational-difference schemes for linear second-order elliptic equations in a two-dimensional region with piecewise smooth boundary

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(68)90008-6 ◽

1968 ◽

Vol 8 (1) ◽

pp. 129-152 ◽

Cited By ~ 3

Author(s):

L.A. Oganesyan ◽

L.A. Rukhovets

Keyword(s):

Elliptic Equations ◽

Smooth Boundary ◽

Second Order ◽

Piecewise Smooth ◽

Difference Schemes ◽

Two Dimensional ◽

Piecewise Smooth Boundary ◽

Second Order Elliptic Equations

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On the rate of convergence of some difference schemes for second order elliptic equations

BIT Numerical Mathematics ◽

10.1007/bf01933418 ◽

1968 ◽

Vol 8 (3) ◽

pp. 154-173 ◽

Cited By ~ 3

Author(s):

J. H. Bramble ◽

R. B. Kellogg ◽

V. Thomée

Keyword(s):

Rate Of Convergence ◽

Elliptic Equations ◽

Second Order ◽

Difference Schemes ◽

Second Order Elliptic Equations

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Study of the rate of convergence of variational difference schemes for second-order elliptic equations in a two-dimensional field with a smooth boundary

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(69)90159-1 ◽

1969 ◽

Vol 9 (5) ◽

pp. 158-183 ◽

Cited By ~ 21

Author(s):

L.A. Oganesyan ◽

L.A. Rukhovets

Keyword(s):

Rate Of Convergence ◽

Elliptic Equations ◽

Smooth Boundary ◽

Second Order ◽

Difference Schemes ◽

Two Dimensional ◽

Second Order Elliptic Equations

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Properties of a solution of the Dirichlet problem for second-order elliptic equations in a class of domains with nonsmooth boundary. I

Lithuanian Mathematical Journal ◽

10.1007/bf00966149 ◽

1987 ◽

Vol 26 (2) ◽

pp. 153-163

Author(s):

K. Pileckas ◽

K. Samaitis

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Nonsmooth Boundary ◽

Second Order Elliptic Equations

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Regularity of the generalized solutions of the first boundary-value problem for quasilinear degenerate second-order elliptic equations

Journal of Soviet Mathematics ◽

10.1007/bf01788913 ◽

1984 ◽

Vol 25 (1) ◽

pp. 815-832 ◽

Cited By ~ 1

Author(s):

A. V. Ivanov

Keyword(s):

Boundary Value Problem ◽

Elliptic Equations ◽

Boundary Value ◽

Second Order ◽

Generalized Solutions ◽

Second Order Elliptic Equations

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On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations

Partial Differential Equations and the Calculus of Variations ◽

10.1007/978-1-4684-9196-8_41 ◽

1989 ◽

pp. 939-957 ◽

Cited By ~ 6

Author(s):

Neil S. Trudinger

Keyword(s):

Viscosity Solutions ◽

Elliptic Equations ◽

Second Order ◽

Regularity And Existence ◽

Second Order Elliptic Equations

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The Dirichlet Problem for Two-Dimensional Quasi-Linear Second-Order Elliptic Equations

Linear Operators and Operator Equations ◽

10.1007/978-1-4757-0013-8_7 ◽

1971 ◽

pp. 115-125

Author(s):

N. M. Ivochkina

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Second Order ◽

Two Dimensional ◽

Second Order Elliptic Equations

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Three sphere inequality for second order elliptic equations with coefficients with jump discontinuity

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.069 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 936-941 ◽

Cited By ~ 3

Author(s):

Michele Di Cristo ◽

Yong Ren

Keyword(s):

Elliptic Equations ◽

Second Order ◽

Jump Discontinuity ◽

Three Sphere ◽

Second Order Elliptic Equations

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The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2570-7 ◽

2015 ◽

Vol 210 (4) ◽

pp. 341-370 ◽

Cited By ~ 3

Author(s):

Yu. Alkhutov ◽

M. V. Borsuk

Keyword(s):

Dirichlet Problem ◽

Boundary Point ◽

Elliptic Equations ◽

Second Order ◽

Second Order Elliptic Equations

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Sharp counterexamples in unique continuation for second order elliptic equations

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2002.003 ◽

2002 ◽

Vol 2002 (542) ◽

Cited By ~ 3

Author(s):

Herbert Koch ◽

Daniel Tataru

Keyword(s):

Elliptic Equations ◽

Unique Continuation ◽

Second Order ◽

Second Order Elliptic Equations

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