The second order perturbation approach for elliptic partial differential equations on random domains

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.11.002 ◽

2018 ◽

Vol 125 ◽

pp. 159-171 ◽

Author(s):

Helmut Harbrecht ◽

Michael D. Peters

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order Perturbation ◽

Perturbation Approach ◽

Partial Differential ◽

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Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140971890 ◽

2015 ◽

Vol 53 (1) ◽

pp. 405-420 ◽

Author(s):

Zhiqiang Cai ◽

Rob Falgout ◽

Shun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order System ◽

Partial Differential ◽

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Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.3004 ◽

2010 ◽

Vol 85 (7) ◽

pp. 874-895 ◽

Author(s):

P. Surya Mohan ◽

Prasanth B. Nair ◽

Andy J. Keane

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

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Solvability of the Dirichlet problem in $H_0^{1,p,\lambda } (\Omega )$ for a class of linear second order elliptic partial differential equations

Equadiff 99 ◽

10.1142/9789812792617_0124 ◽

2000 ◽

pp. 609-611

Author(s):

M. A. Ragusa

Keyword(s):

Dirichlet Problem ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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A population of linear, second order, elliptic partial differential equations on rectangular domains. I, II

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0606507-2 ◽

1981 ◽

Vol 36 (154) ◽

pp. 475-475

Author(s):

John R. Rice ◽

Elias N. Houstis ◽

Wayne R. Dyksen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2019.1624737 ◽

2019 ◽

Vol 25 (5) ◽

pp. 716-749 ◽

Author(s):

R. K. Mohanty ◽

Geetan Manchanda ◽

Arshad Khan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Exponential Form ◽

Partial Differential ◽

Step Approximation

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A least-squares method for second order noncoercive elliptic partial differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-06-01906-5 ◽

2007 ◽

Vol 76 (257) ◽

pp. 97-115 ◽

Author(s):

JaEun Ku

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Least Squares ◽

Least Squares Method ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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Fundamental solutions for second order linear elliptic partial differential equations

Computational Mechanics ◽

10.1007/s004660050335 ◽

1998 ◽

Vol 22 (1) ◽

pp. 26-31 ◽

Author(s):

D. L. Clements

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fundamental Solutions ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential ◽

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FETI Domain Decomposition Methods for Second Order Elliptic Partial Differential Equations

GAMM-Mitteilungen ◽

10.1002/gamm.201490036 ◽

2006 ◽

Vol 29 (2) ◽

pp. 319-341 ◽

Author(s):

Axel Klawonn

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Methods ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Domain Decomposition Methods ◽

Partial Differential

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New bounds for solutions of second order elliptic partial differential equations

Pacific Journal of Mathematics ◽

10.2140/pjm.1958.8.551 ◽

1958 ◽

Vol 8 (3) ◽

pp. 551-573 ◽

Author(s):

Lawrence Payne ◽

Hans Weinberger

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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Some properties of solutions of second-order elliptic partial differential equations with unbounded Dirichlet integral

Časopis pro pěstování matematiky ◽

10.21136/cpm.1963.108746 ◽

1963 ◽

Vol 088 (2) ◽

pp. 142-155

Author(s):

Jan Kadlec

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Dirichlet Integral ◽

Partial Differential

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