A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements
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Publication:345487
DOI10.1016/j.apm.2012.01.018zbMath1349.74320OpenAlexW2019557077MaRDI QIDQ345487
Publication date: 2 December 2016
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2012.01.018
spectral element methodLagrange polynomialsFekete pointsdubiner polynomialspennes bioheat transfer equationtriangular and quadrilateral elements
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Uses Software
Cites Work
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- Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation
- Spectral element solutions for the \(P_{N}\) neutron transport equations
- A nodal triangle-based spectral element method for the shallow water equations on the sphere
- A spectral element approximation to price European options with one asset and stochastic volatility
- Dispersion analysis of spectral element methods for elastic wave propagation
- A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary
- Multiscale effect of localized heating on the global temperature response of a human body during whole-body hyperthermia
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue
- On the solution of the non-local parabolic partial differential equations via radial basis functions
- Solution of moving-boundary problems by the spectral element method
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- A meshless based method for solution of integral equations
- An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
- Spectral methods on triangles and other domains
- Spectral element method for acoustic wave simulation in heterogeneous media
- Investigation of a two-dimensional spectral element method for Helmholtz's equation
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
- Boundary information based diagnostics on the thermal states of biological bodies
- A numerical study of a 3D bioheat transfer problem with different spatial heating
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- An RBF-MFS model for analysing thermal behaviour of skin tissues
- An explicit second order spectral element method for acoustic waves
- An Algorithm for Computing Fekete Points in the Triangle
- Tensor product Gauss-Lobatto points are Fekete points for the cube
- The MATLAB ODE Suite
- Spectral Methods for Time-Dependent Problems
- Implementing Spectral Methods for Partial Differential Equations
- A Legendre spectral element method for the Stefan problem
- Thep-Version of the Finite Element Method
- Spectral element discretization of the Maxwell equations
- The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- Solving ODEs with MATLAB
- High-Order Methods for Incompressible Fluid Flow
- Spectral Methods
- Algorithm 839
- Spectral Methods
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