Method of fictitious domains for a second-order elliptic equation with natural boundary conditions

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(78)90012-5 ◽

1978 ◽

Vol 18 (1) ◽

pp. 114-121 ◽

Author(s):

G.P. Astrakhantsev

Keyword(s):

Elliptic Equation ◽

Boundary Conditions ◽

Second Order ◽

Order Elliptic Equation ◽

Natural Boundary ◽

Second Order Elliptic Equation ◽

Natural Boundary Conditions

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Inverse coefficient problem for a second-order elliptic equation with nonlocal boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3759 ◽

2015 ◽

Vol 39 (11) ◽

pp. 3152-3158 ◽

Author(s):

Fatma Kanca

Keyword(s):

Elliptic Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Second Order ◽

Order Elliptic Equation ◽

Coefficient Problem ◽

Inverse Coefficient Problem ◽

Second Order Elliptic Equation ◽

Inverse Coefficient

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On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions

Cumhuriyet Science Journal ◽

10.17776/csj.684366 ◽

2020 ◽

Vol 41 (2) ◽

pp. 443-455

Author(s):

Prof.dr.rauf AMİROV ◽

Yaşar MEHRALİYEV ◽

Nergiz HEYDARZADE

Keyword(s):

Elliptic Equation ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Boundary Value ◽

Second Order ◽

Order Elliptic Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Second Order Elliptic Equation ◽

Classical Boundary

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ON EXCEPTIONAL SETS ON THE BOUNDARY AND THE UNIQUENESS OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1981v039n01abeh001475 ◽

1981 ◽

Vol 39 (1) ◽

pp. 107-123 ◽

Author(s):

S V Gaĭdenko

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Uniqueness Of Solutions ◽

Exceptional Sets ◽

Second Order Elliptic Equation

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A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(96)00097-0 ◽

1996 ◽

Vol 76 (1-2) ◽

pp. 137-146 ◽

Author(s):

Zhi-Zhong Sun

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Parabolic Equations ◽

Finite Difference Scheme ◽

Second Order ◽

Natural Boundary ◽

Nonlocal Parabolic Equations ◽

Natural Boundary Conditions

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THE ASYMPTOTICS OF THE GREEN FUNCTION FOR A SECOND-ORDER ELLIPTIC EQUATION NEAR THE BOUNDARY OF THE DOMAIN

Mathematics of the USSR-Izvestiya ◽

10.1070/im1984v023n03abeh001787 ◽

1984 ◽

Vol 23 (3) ◽

pp. 579-594

Author(s):

A M Il'in ◽

B I Suleĭmanov

Keyword(s):

Green Function ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

The Green Function

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Solvability of the Dirichlet problem for the general second-order elliptic equation

Doklady Mathematics ◽

10.1134/s1064562411010091 ◽

2011 ◽

Vol 83 (1) ◽

pp. 30-33 ◽

Author(s):

V. Zh. Dumanyan

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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The Dirichlet Problem for a Second Order Elliptic Equation

North-Holland Series in Applied Mathematics and Mechanics - Boundary Value Problems - For Second Order Elliptic Equations ◽

10.1016/b978-0-12-395747-4.50009-9 ◽

1968 ◽

pp. 78-90

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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Coerciveness in ?2 of general boundary-value problems for a degenerate second-order elliptic equation

Functional Analysis and Its Applications ◽

10.1007/bf01076130 ◽

1969 ◽

Vol 2 (3) ◽

pp. 261-262 ◽

Author(s):

V. P. Glushko

Keyword(s):

Elliptic Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

General Boundary ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation

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ON THE BEST HÖLDER EXPONENTS FOR GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1988v059n01abeh003127 ◽

1988 ◽

Vol 59 (1) ◽

pp. 113-127 ◽

Author(s):

V A Kondrat'ev ◽

I Kopachek ◽

O A Oleĭnik

Keyword(s):

Dirichlet Problem ◽

Elliptic Equation ◽

Second Order ◽

Generalized Solutions ◽

Order Elliptic Equation ◽

Second Order Elliptic Equation ◽

Hölder Exponents

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MultiScale Asymptotic Analysis Method with High Accuracy for the Second Order Elliptic Equation with Oscillating Periodic Coefficients in Perforated Domain

2009 International Conference on Artificial Intelligence and Computational Intelligence ◽

10.1109/aici.2009.452 ◽

2009 ◽

Author(s):

Xiao-qi Liu ◽

Qi-ding Zhu

Keyword(s):

Elliptic Equation ◽

Asymptotic Analysis ◽

High Accuracy ◽

Second Order ◽

Perforated Domain ◽

Order Elliptic Equation ◽

Analysis Method ◽

Periodic Coefficients ◽

Second Order Elliptic Equation

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