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Introduction
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Theory
Least-Squares spectral element method
Least-Squares spectral element method
Basis functions
Numerical integration
Transfinite mapping
Interpolation within a standard element
Differentiation within a standard element
1D element
2D element
Multi-element description
Global matrix assembly
Thermodynamic relations
Enthalpy
Helmholtz energy
Gibbs energy
Internal energy
Equation of state for phase-change
Free energy of a dividing surface
Diffuse interface methods
Equilibrium interface profile
Bulk energy density
Phase-field evolution in time
Software
Nemesis
Installation
Code structure
Settings file
Block: nemesis
Block: problem_data
Block: function_data
Block: mesh_data
Block: field_data
fields specification
fe_handler_data specification
solution_data specification
boundary_data specification
monitor_data specification
Block: physics_data
Block: solver_data
Block: output_data
Block: analysis
Mesh definition
Geometric elements
Geometric mesh
Mesh elements
Static / Octree mesh
Mesh refinement
Field definition
Solution
Useful Matlab functions
Settings
Field
plotting
vector with (derivative) values
quadrature information
degree of freedom information
Mesh
plotting
plotting of active elements (OctreeMesh only)
Patch
plotting
Paraview output
References
References
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Least-Squares spectral element method
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Numerical integration
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Numerical integration
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