High-Accuracy Finite Element Method for Solving Boundary-Value Problems for Elliptic Partial Differential Equations

RUDN Journal of Mathematics Information Sciences and Physics ◽

10.22363/2312-9735-2017-25-3-217-233 ◽

2017 ◽

Vol 25 (3) ◽

pp. 217-233

Author(s):

A.A. Gusev ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

High Accuracy ◽

Partial Differential ◽

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A MULTIMODES MONTE CARLO FINITE ELEMENT METHOD FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016805 ◽

2016 ◽

Vol 6 (5) ◽

pp. 429-443 ◽

Author(s):

Xiaobing Feng ◽

Junshan Lin ◽

Cody Lorton

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Monte Carlo ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

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A Three-Field Finite Element Method for Elliptic Partial Differential Equations Driven by Stochastic Loads

Stochastic Analysis and Applications ◽

10.1081/sap-200064476 ◽

2005 ◽

Vol 23 (4) ◽

pp. 757-783 ◽

Author(s):

Scott R. Franklin ◽

Padmanabhan Seshaiyer ◽

Philip W. Smith

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Stochastic Loads ◽

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Transformation of elliptic partial differential equations for solving two-dimensional boundary value problems in fluid flow

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620100304 ◽

1976 ◽

Vol 10 (3) ◽

pp. 527-533 ◽

Author(s):

J. D. Boadway

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Dimensional Boundary

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Numerical Solutions of Partial Differential Equations by the Finite Element Method

The Mathematical Gazette ◽

10.2307/3618226 ◽

1989 ◽

Vol 73 (463) ◽

pp. 59

Author(s):

F. B. Ellerby ◽

C. Johnson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solutions ◽

The Finite Element Method ◽

Partial Differential ◽

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A multiscale finite element method for partial differential equations posed in domains with rough boundaries

Mathematics of Computation ◽

10.1090/s0025-5718-08-02159-5 ◽

2009 ◽

Vol 78 (265) ◽

pp. 25-25 ◽

Author(s):

Alexandre L. Madureira

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Rough Boundaries ◽

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Elliptic systems of partial differential equations and the finite element method

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90020-3 ◽

1983 ◽

Vol 94 (1) ◽

pp. 283-295 ◽

Author(s):

Brian M O'Connor

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Systems ◽

The Finite Element Method ◽

Partial Differential ◽

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Solution of partial differential equations systems by the moving finite element method

Computers & Chemical Engineering ◽

10.1016/0098-1354(92)80069-l ◽

1992 ◽

Vol 16 (6) ◽

pp. 583-592 ◽

Author(s):

C. Sereno ◽

A. Rodrigues ◽

J. Villadsen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Element Method ◽

Moving Finite Element

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Boundary-value problems for some semilinear elliptic partial differential equations

Coincidence Degree, and Nonlinear Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0089545 ◽

1977 ◽

pp. 151-165

Author(s):

Robert E. Gaines ◽

Jean L. Mawhin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Semilinear Elliptic

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A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02676-2 ◽

2013 ◽

Vol 82 (283) ◽

pp. 1543-1557 ◽

Author(s):

Yoshitaka Watanabe ◽

Takehiko Kinoshita ◽

Mitsuhiro T. Nakao

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

A Posteriori ◽

Partial Differential ◽

A Posteriori Estimates

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A moving-mesh finite element method with local refinement for parabolic partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90083-6 ◽

1986 ◽

Vol 55 (1-2) ◽

pp. 3-26 ◽

Author(s):

Slimane Adjerid ◽

Joseph E. Flaherty

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Moving Mesh ◽

Parabolic Partial Differential Equations ◽

Local Refinement ◽

Partial Differential ◽

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