Approximation of tricomi problem with Neumann boundary condition
Copyright policy )Approximation of tricomi problem with Neumann boundary condition
The Tricomi problem with Neumann boundary condition is reduced to a degenerate problem in the elliptic region with a non-local boundary condition and to a Cauchy problem in the hyperbolic region. A variational formulation is given to the elliptic problem and a finite element approximation is studied. Also some regularity results in weighted Sobolev spaces are discussed.
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510.mathematics, Error bounds for boundary value problems involving PDEs, variational solution, regularity of the weak solution, Partial differential equations of mixed type and mixed-type systems of partial differential equations, Degenerate elliptic equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, finite element approximation, Article, Tricomi problem
510.mathematics, Error bounds for boundary value problems involving PDEs, variational solution, regularity of the weak solution, Partial differential equations of mixed type and mixed-type systems of partial differential equations, Degenerate elliptic equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, finite element approximation, Article, Tricomi problem
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