Domain Uncertainty Quantification in Computational Electromagnetics
From MaRDI portal
Publication:4960993
DOI10.1137/19M1239374zbMath1483.65010OpenAlexW3007599500MaRDI QIDQ4960993
J. Zech, Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab
Publication date: 24 April 2020
Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1239374
finite elementscomputational electromagneticsuncertainty quantificationBayesian inverse problemssparse grid quadratureshape holomorphy
Bayesian inference (62F15) Monte Carlo methods (65C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic fields in general relativity and gravitational theory (83C50)
Related Items
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains, Optimal approximation of infinite-dimensional holomorphic functions, Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification, Multilevel domain uncertainty quantification in computational electromagnetics, Multilevel Quasi-Monte Carlo Uncertainty Quantification for Advection-Diffusion-Reaction, The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements, Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\), Multilevel approximation of parametric and stochastic PDES, Isogeometric multilevel quadrature for forward and inverse random acoustic scattering, Higher-Order Quasi-Monte Carlo Training of Deep Neural Networks
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analysis of the domain mapping method for elliptic diffusion problems on random domains
- High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs
- Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
- An introduction to Sobolev spaces and interpolation spaces
- Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes
- Sparse second moment analysis for elliptic problems in stochastic domains
- Sparse finite element methods for operator equations with stochastic data.
- Computation of high order derivatives in optimal shape design
- Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions
- On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
- Theory and practice of finite elements.
- On the Lebesgue constant of Leja sequences for the complex unit disk and of their real projection
- Analysis and computation of the elastic wave equation with random coefficients
- Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations
- Higher order quasi-Monte Carlo integration for Bayesian PDE inversion
- A multi-modes Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell's equations with random coefficients
- Sparse, adaptive Smolyak quadratures for Bayesian inverse problems
- Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
- Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients
- Multilevel higher-order quasi-Monte Carlo Bayesian estimation
- A Higher Order Perturbation Approach for Electromagnetic Scattering Problems on Random Domains
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Electromagnetic wave scattering by random surfaces: Shape holomorphy
- Uncertainty Quantification for Low-Frequency, Time-Harmonic Maxwell Equations with Stochastic Conductivity Models
- Deep learning in high dimension: Neural network expression rates for generalized polynomial chaos expansions in UQ
- Higher Order Quasi--Monte Carlo Integration for Holomorphic, Parametric Operator Equations
- Convergence of Sparse Collocation for Functions of Countably Many Gaussian Random Variables (with Application to Elliptic PDEs)
- Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements
- Finite Element Methods for Maxwell's Equations
- Sparse quadrature for high-dimensional integration with Gaussian measure
- Multilevel approximation of parametric and stochastic PDES
- Convergence rates of high dimensional Smolyak quadrature
- Helmholtz Scattering by Random Domains: First-Order Sparse Boundary Element Approximation
- First order $k$-th moment finite element analysis of nonlinear operator equations with stochastic data
- Finite element quasi-interpolation and best approximation
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
