Convergence analysis of a spectral numerical method for a peridynamic formulation of Richards' equation

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Cites Work

Peridynamic thermal diffusion
The MAST-edge centred lumped scheme for the flow simulation in variably saturated heterogeneous porous media
Monotone schemes for a class of nonlinear elliptic and parabolic problems
Strong solutions to the Richards equation in the unsaturated zone
Quasilinear elliptic-parabolic differential equations
A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone
Reformulation of elasticity theory for discontinuities and long-range forces
A fast-convolution based space-time Chebyshev spectral method for peridynamic models
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media
Intrinsic finite element method for advection-diffusion-reaction equations on surfaces
A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards' equation
A space-time discretization of a nonlinear peridynamic model on a 2D lamina
A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils
A linear domain decomposition method for partially saturated flow in porous media
Approximation Results for Orthogonal Polynomials in Sobolev Spaces
Mixed finite elements and Newton-type linearizations for the solution of Richards' equation
Maximum principles for nonlocal parabolic Waldenfels operators
A nonperiodic Chebyshev spectral method avoiding penalization techniques for a class of nonlinear peridynamic models
A numerical method for a nonlocal form of Richards' equation based on peridynamic theory
Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation
A filtered Chebyshev spectral method for conservation laws on network

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