The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences

DOI10.1007/978-3-540-79994-8_5zbMath1156.92012OpenAlexW1946533346MaRDI QIDQ3601899

Erwin George, Martin Eigel, Markus Kirkilionis

Publication date: 12 February 2009

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

Full work available at URL: https://doi.org/10.1007/978-3-540-79994-8_5

zbMATH Keywords

PUMmeshfree discretizationcover construction

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Cell biology (92C37) General biology and biomathematics (92B05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

An overdetermined B-spline collocation method for Poisson problems on complex domains ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains

Cites Work

• Bistability and oscillations in chemical reaction networks
• Graph theory and qualitative analysis of reaction networks
• A unified approach to a posteriori error estimation using element residual methods
• Meshfree methods for partial differential equations II. Selected contributions of the second international workshop, Bonn, Germany, September 15--17, 2003
• Meshfree methods for partial differential equations. International workshop, Univ. Bonn, Germany, September 11--14, 2001
• A parallel multilevel partition of unity method for elliptic partial differential equations
• Linear dependence problems of partition of unity-based generalized FEMs
• A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Partition of Unity Meshfree Method for Solving Transport-Reaction Equations on Complex Domains: Implementation and Applications in the Life Sciences