Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains

► We propose a tensor-based method for the solution of PDEs defined on uncertain parameterized domains. ► We use a fictitious domain approach to obtain a formulation in a tensor product space. ► We use a PGD algorithm for the construction of a tensor approximation of the solution. ► We introduce a c...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering Vol. 200; no. 45; pp. 3066 - 3082
Main Authors:	Nouy, A., Chevreuil, M., Safatly, E.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 01.01.2011 Elsevier
Subjects:	Approximation Construction Engineering Sciences Exact sciences and technology Fictitious domain method Indicators Mathematical analysis Mathematical models Mathematics Mechanics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical Analysis Numerical analysis. Scientific computation Partial differential equations Preserves Proper Generalized Decomposition Random domain Representations Sciences and techniques of general use Spectral stochastic methods Tensor product approximation Tensors Uncertainty quantification Uncertainty quantification Proper Generalized Decomposition Fictitious domain method Spectral stochastic methods Random domain Tensor product approximation Function space Tensor product Decomposition method Positivity Modeling Partial differential equation Uncertain system System reduction Variational calculus Reduced order systems Neumann problem Spectral method Probabilistic approach Well posed problem Indicator Reduction method Boundary value problem Weak solution Regularization Tensor method
ISSN:	0045-7825, 1879-2138
Online Access:	Get full text
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