An approximation theory for conjugate surfaces and solutions of elliptic multiple integral problems: Application to numerical solutions of generalized Laplace's equation
DOI10.1016/0022-247X(82)90189-5zbMath0481.65068MaRDI QIDQ1162348
Publication date: 1982
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
numerical exampleseigenvalue problemsEuler- Lagrange equationsconjugate surfacesoscillation problemsconjugate solutionselliptic multiple integral problemselliptic quadratic formsgeneralized Laplace's equationLaplace-type equations
Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Numerical algorithms for oscillation vectors of second order differential equations including the Euler-Lagrange equation for symmetric tridiagonal matrices
- Conjugate surfaces for multiple integral problems in the calculus of variations
- Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
- Quadratic Variational Theory and Linear Elliptic Partial Differential Equations
- An Approximation Theory for Generalized Fredholm Quadratic Forms and Integral-Differential Equations
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