Efficient simulation of cardiac electrical propagation using adaptive high-order finite elements

Efficient simulation of cardiac electrical propagation using adaptive high-order finite elements

<p>This thesis investigates the high-order hierarchical finite element method, also known as the finite element p-version, as a computationally-efficient technique for generating numerical solutions to the cardiac monodomain equation. We first present it as a uniform-order method, and through...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Arthurs, C, Christopher Arthurs
Awduron Eraill:	Kay, D
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2013
Pynciau:	Biophysics Partial differential equations Computer science (mathematics) Functional analysis (mathematics) Mathematical biology Numerical analysis

Eitemau Tebyg

A fictitious domain approach for hybrid simulations of eukaryotic chemotaxis
gan: Seguis, J
Cyhoeddwyd: (2013)

Sound propagation in an urban environment
gan: Hewett, D
Cyhoeddwyd: (2010)

Computing with functions in two dimensions
gan: Townsend, A
Cyhoeddwyd: (2014)

Flow and nutrient transport problems in rotating bioreactor systems
gan: Dalwadi, M, et al.
Cyhoeddwyd: (2014)

On local constraints and regularity of PDE in electromagnetics. Applications to hybrid imaging inverse problems
gan: Alberti, G
Cyhoeddwyd: (2014)

Partial differential equations : methods, applications and theories /
gan: Hattori, Harumi
Cyhoeddwyd: (2013)

Spectral methods : fundamentals in single domains /
gan: Canuto, C.
Cyhoeddwyd: (2006)

Numerical solution of special second order initial value problems by hybrid type methods
gan: Dauda Yusuf Jikantoro,
Cyhoeddwyd: (2014)

The finite difference method in partial differential equations /
gan: Mitchell, A. R. (Andrew R.), et al.
Cyhoeddwyd: (1980)

Comparing stochastic discrete and deterministic continuum models of cell migration
gan: Yates, C
Cyhoeddwyd: (2011)

Developing efficient finite element methods for nonlocal PDEs
gan: Wang, Jeremy Zhi Zhong
Cyhoeddwyd: (2023)

Mathematical modelling of oxygen transport in skeletal and cardiac muscles
gan: Alshammari, A
Cyhoeddwyd: (2014)

Expansion methods for high-dimensional PDEs in finance
gan: Wissmann, R
Cyhoeddwyd: (2015)

Development of the Quantum Lattice Boltzmann method for simulation of quantum electrodynamics with applications to graphene
gan: Lapitski, D
Cyhoeddwyd: (2014)

Contributions to nonlinear analysis : [electronic resources] a tribute to D.G. de Figueiredo on the occasion of his 70th birthday /
gan: 205970 Cazenave, Thierry, et al.
Cyhoeddwyd: (2006)

Mathematical modelling of flow and transport phenomena in tissue engineering
gan: Pearson, N
Cyhoeddwyd: (2014)

Discontinuous Galerkin finite element approximation of Hamilton-Jacobi-Bellman equations with Cordes coefficients
gan: Smears, I
Cyhoeddwyd: (2015)

Polymer physics-based mathematical models for the correlation of DNA and mRNA in a eukaryotic cell
gan: Archit Chaturvedi
Cyhoeddwyd: (2022-09-01)

Elements of soliton theory/
gan: 291932 Lamb, G. L.
Cyhoeddwyd: (1980)

Analysis of the quasicontinuum method and its application
gan: Wang, H
Cyhoeddwyd: (2013)

A robust finite element method for Darcy-Stokes flow
gan: Mardal, Kent Andre, et al.
Cyhoeddwyd: (2009)

Superconvergence for the gradient of finite element approximations by L2-projections
gan: Heimsund, Bjorn-Ove, et al.
Cyhoeddwyd: (2009)

Model-driven design and uncertainty quantification for cardiac electrophysiology experiments
gan: Lei, CL
Cyhoeddwyd: (2020)

Applied mathematics body and soul /
gan: 243999 Eriksson, K., et al.
Cyhoeddwyd: (2004)

Some problems on the dynamics of nematic liquid crystals
gan: Wilkinson, M
Cyhoeddwyd: (2013)

Meshfree methods : moving beyond the finite element method /
gan: 240328 Liu, G R
Cyhoeddwyd: (2010)

Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
gan: Sherratt, J, et al.
Cyhoeddwyd: (1996)

Strain-limiting viscoelasticity
gan: Patel, V
Cyhoeddwyd: (2022)

Mathematical and computational modelling of tissue engineered bone in a hydrostatic bioreactor
gan: Leonard, KHL
Cyhoeddwyd: (2014)

Deterministic simulation of multi-beaded models of dilute polymer solutions
gan: Figueroa, L, et al.
Cyhoeddwyd: (2011)

Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework
gan: Birkisson, A
Cyhoeddwyd: (2013)

Fast iterative solvers for PDE-constrained optimization problems
gan: Pearson, J
Cyhoeddwyd: (2013)

Mathematical modelling of human sperm motility
gan: Gadelha, H
Cyhoeddwyd: (2012)

Simulations and modelling of bacterial flagellar propulsion
gan: Shum, H
Cyhoeddwyd: (2011)

Mathematical modelling of surfactant adsorption structures at interfaces
gan: Morgan, C
Cyhoeddwyd: (2012)

In silico modelling of tumour-induced angiogenesis
gan: Connor, A
Cyhoeddwyd: (2014)

Stochastic PDEs and weakly interacting particle systems
gan: Mayorcas, A
Cyhoeddwyd: (2020)

Numerical methods for approximating solutions to rough differential equations
gan: Gyurko, L
Cyhoeddwyd: (2008)

Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
gan: Woolley, T, et al.
Cyhoeddwyd: (2012)

Numerical methods for physics /
gan: 453126 Garcia, Alejandro L.
Cyhoeddwyd: (1994)