Generating probability distributions on intervals and spheres with application to finite element method

DOI10.1016/J.CAMWA.2020.10.017OpenAlexW3154944707MaRDI QIDQ2034905

Yizhi Sun, Zhi-Lin Sun

Publication date: 23 June 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.10.017

zbMATH Keywords

interval characteristic sequenceprobabilistic finite elementsprobabilistic Galerkin schemespherical probability

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to stochastic differential and integral equations (65C30) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (2)

Generating probability distributions on intervals and spheres: convex decomposition ⋮ Editorial: Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods

Cites Work

• A Galerkin-based formulation of the probability density evolution method for general stochastic finite element systems
• Breaking spaces and forms for the DPG method and applications including Maxwell equations
• Multiscale potential theory. With applications to geoscience
• Positive Jacobi Polynomial Sums, II
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• A necessary and sufficient condition for strictly positive definite functions on spheres

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