Dispersion Properties of the Partition of Unity Method and Explicit Dynamics

DOI10.1007/978-3-319-06898-5_14zbMath1330.65141OpenAlexW60530484MaRDI QIDQ5743966

Marc Alexander Schweitzer, Albert Ziegenhagel

Publication date: 9 February 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06898-5_14

zbMATH Keywords

dispersionpartition of unitylumped mass

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Generalizations of the finite element method
• The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment
• Partition of unity method for Helmholtz equation: \(q\)-convergence for plane-wave and wave-band local bases.
• An adaptive \(hp\)-version of the multilevel particle-partition of unity method
• Finite element methods for the Helmholtz equation in an exterior domain: Model problems
• Finite element analysis of acoustic scattering
• The partition of unity finite element method: basic theory and applications
• Characteristics of semi- and full discretization of stabilized Galerkin meshfree method
• A parallel multilevel partition of unity method for elliptic partial differential equations
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• The generalized finite element method for Helmholtz equation: theory, computation, and open problems
• A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
• The extended/generalized finite element method: An overview of the method and its applications
• An Algebraic Treatment of Essential Boundary Conditions in the Particle–Partition of Unity Method
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• THE PARTITION OF UNITY METHOD
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Dispersion and stability properties of radial basis collocation method for elastodynamics
• Variational Mass Lumping in the Partition of Unity Method