A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation
type: Item
instance of: scholarly article
title: A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation
zbMATH Open document ID: 1405.78012
author: Gang Bao
author: Yanzhao Cao
author: Yongle Hao
author: Kai Zhang
published in: Journal of Scientific Computing
publication date: 2018-12-13T00:00:00Z
Mathematics Subject Classification ID: 78M31
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65F30
zbMATH DE Number: 6993427
zbMATH Keywords: random interface grating problem
zbMATH Keywords: weak Galerkin
zbMATH Keywords: low-rank approximation
MaRDI profile type: Publication
full work available at URL: s10915-018-0712-z
OpenAlex ID: W2800484385
cites work: Uniqueness theorems for an inverse problem in a doubly periodic structure
cites work: The factorization method in inverse scattering from periodic structures
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
cites work: Mathematical modeling in optical science. Proceedings of a minisymposium on optics at SIAM's annual meeting, Stanford Univ., Palo Alto, CA, USA, 1997
cites work: On the scattering by a biperiodic structure
cites work: An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures
cites work: Unique determination of periodic polyhedral structures by scattered electromagnetic fields
cites work: Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
cites work: Q4215355
cites work: A fictitious domain approach to the numerical solution of PDEs in stochastic domains
cites work: Q5318583
cites work: The finite element methods for elliptic problems.
cites work: Shapes and geometries. Analysis, differential calculus, and optimization
cites work: Optimal design of periodic antireflective structures for the Helmholtz equation
cites work: Grating Profile Reconstruction Based on Finite Elements and Optimization Techniques
cites work: Optimal regularity for elliptic transmission problems including \(C^1\) interfaces
cites work: Multi-level Monte Carlo weak Galerkin method with nested meshes for stochastic Brinkman problem
cites work: First order second moment analysis for stochastic interface problems based on low-rank approximation
cites work: On the low-rank approximation by the pivoted Cholesky decomposition
cites work: Sparse second moment analysis for elliptic problems in stochastic domains
cites work: Iterative regularization schemes in inverse scattering by periodic structures
cites work: Shape derivatives in differential forms. I: An intrinsic perspective
cites work: Sparse grid quadrature in high dimensions with applications in finance and insurance
cites work: A high-order perturbation approach to profile reconstruction: I. Perfectly conducting gratings
cites work: Uniqueness theorems in inverse scattering theory for periodic structures
cites work: Shape derivatives in Kondratiev spaces for conical diffraction
cites work: Multi-level Monte Carlo weak Galerkin method for elliptic equations with stochastic jump coefficients
cites work: Variational Method for the Calculation of the Distribution of Energy Reflected from a Periodic Surface. I.
cites work: Weak Galerkin methods for second order elliptic interface problems
cites work: Weak Galerkin Finite Element Methods on Polytopal Meshes
cites work: Integral Equation Methods in a Quasi-Periodic Diffraction Problem for the Time-Harmonic Maxwell’s Equations
cites work: Q3593779
cites work: Electromagnetic wave scattering by random surfaces: uncertainty quantification via sparse tensor boundary elements
cites work: Karhunen-Loève approximation of random fields by generalized fast multipole methods
cites work: Q4000354
cites work: A weak Galerkin finite element method for second-order elliptic problems
cites work: A weak Galerkin finite element scheme for solving the stationary Stokes equations
cites work: Q5734255
cites work: Modeling uncertainty in flow simulations via generalized polynomial chaos.
cites work: A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
cites work: A weak Galerkin method for diffraction gratings
Wikidata QID: Q129973832
DOI: 10.1007/S10915-018-0712-Z
Recommended article: A shape calculus based method for a transmission problem with a random interface
Recommended article: A weak Galerkin method for diffraction gratings
Recommended article: A sparse grid stochastic collocation method for elliptic interface problems with random input
Recommended article: A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains
Recommended article: Computation of moments for Maxwell's equations with random interfaces via pivoted low-rank approximation
Recommended article: Stochastic Galerkin methods for elliptic interface problems with random input
Recommended article: A semi-uniform multigrid algorithm for solving elliptic interface problems
Recommended article: A least-squares-based weak Galerkin finite element method for elliptic interface problems
Recommended article: An efficient multigrid method for semilinear interface problems
Recommended article: A new weak Galerkin finite element method for elliptic interface problems
description: scientific article; zbMATH DE number 6993427