Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

(2019) Martin J. Gander et al.   SIAM REVIEW

Stability and finite element error analysis for the Helmholtz equation with variable coefficients

(2019) I. G. Graham et al.   MATHEMATICS OF COMPUTATION

A fourth-order optimal finite difference scheme for the Helmholtz equation with PML

(2019) Hatef Dastour et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An optimal compact sixth-order finite difference scheme for the Helmholtz equation

(2018) Tingting Wu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The Helmholtz equation in heterogeneous media: A priori bounds, well-posedness, and resonances

(2018) I.G. Graham et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A fast solver for the Helmholtz equation based on the generalized multiscale finite-element method

(2017) Shubin Fu et al.   GEOPHYSICAL JOURNAL INTERNATIONAL

On high order methods for the heterogeneous Helmholtz equation

(2016) Théophile Chaumont-Frelet   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

(2016) Xiaolu Su et al.   JOURNAL OF COMPUTATIONAL MATHEMATICS

Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis

(2016) Erik Burman et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version

(2013) Lingxue Zhu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions

(2013) Sean O. Settle et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number

(2012) Eli Turkel et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension

(2011) Jelena Popovic et al.   BIT NUMERICAL MATHEMATICS

Overview of the discontinuous enrichment method, the ultra-weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons

(2011) Dalei Wang et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

(2011) Xiufang Feng et al.   JOURNAL OF COMPUTATIONAL MATHEMATICS

Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

(2011) J. M. Melenk et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media using Compact High Order Schemes

(2010) Steven Britt et al.   Communications in Computational Physics

Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number

(2009) Xiaobing Feng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

DEVELOPMENT OF A THREE-POINT SIXTH-ORDER HELMHOLTZ SCHEME

(2008) TONY W. H. SHEU et al.   JOURNAL OF COMPUTATIONAL ACOUSTICS