The Cauchy-Dirichlet problem of the Helmholtz equation yields unstable solution, which when solved with the Quasi-Boundary Value Method (Q-BVM) for a regularization parameter = 0. At this point of regularization parameter, the solution of the Helmholtz equation with both Cauchy and Dirichlet boundary conditions is unstable when solved with the Q-BVM. Thus, the quasi-boundary value method is insufficient and inefficient for regularizing ill-posed Helmholtz equation with both Cauchy and Dirichlet boundary conditions. In this paper, we introduce an expression 1 (1+ 2) ; ∈ R, where is the regularization parameter, which is multiplied by w(x; 1) and then added to the Cauchy and Dirichlet boundary conditions of the Helmholtz equation. This regula...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary ...
AbstractIn this paper, we consider the Cauchy problem for the Helmholtz equation in a rectangle, whe...
In this paper, we consider a Cauchy problem for the Helmholtz equation at fixed frequency, especiall...
Abstract The Cauchy problem of the modified Helmholtz-type equation is severely ill-posed, i.e., the...
A regularization method for solving the Cauchy problem of the Helmholtz equation is proposed. The a ...
AbstractWe investigate a Cauchy problem for the Helmholtz equation. A modified boundary method is us...
The Cauchy problem for the Helmholtz equation appears in various applications. The problem is severe...
In this paper, we introduce the Convex Regularization Method (CRM) for regularizing the (instability...
The inverse problem of reconstructing the acoustic, or electromagnetic, field from inexact measureme...
In this paper we describe and analyze some modified boundary element methods to solve exterior bound...
AbstractIf a nonconstant solution u of the Helmholtz equation exists on a bounded domain with u sati...
In this paper, the iterative algorithm proposed by Kozlov et al. [Comput. Maths. Math. Phys. 31 (199...
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary ...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary ...
AbstractIn this paper, we consider the Cauchy problem for the Helmholtz equation in a rectangle, whe...
In this paper, we consider a Cauchy problem for the Helmholtz equation at fixed frequency, especiall...
Abstract The Cauchy problem of the modified Helmholtz-type equation is severely ill-posed, i.e., the...
A regularization method for solving the Cauchy problem of the Helmholtz equation is proposed. The a ...
AbstractWe investigate a Cauchy problem for the Helmholtz equation. A modified boundary method is us...
The Cauchy problem for the Helmholtz equation appears in various applications. The problem is severe...
In this paper, we introduce the Convex Regularization Method (CRM) for regularizing the (instability...
The inverse problem of reconstructing the acoustic, or electromagnetic, field from inexact measureme...
In this paper we describe and analyze some modified boundary element methods to solve exterior bound...
AbstractIf a nonconstant solution u of the Helmholtz equation exists on a bounded domain with u sati...
In this paper, the iterative algorithm proposed by Kozlov et al. [Comput. Maths. Math. Phys. 31 (199...
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary ...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
The Cauchy problem for the Helmholtz equation appears in applications related to acoustic or electro...
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary ...