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Numerical aspects of parabolic free boundary and hysteresis problems
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Phase transitions and generalized motion by mean curvature
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Mathematical Models for Phase Change Problems
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On Uniqueness for Evolution Problems with Hysteresis
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Solutions for the Two-Phase Stefan Problem with the Gibbs—Thomson Law for the Melting Temperature
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Quasilinear elliptic-parabolic differential equations
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Error estimates for a semi-explicit numerical scheme for Stefan-type problems
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Error estimates for two-phase stefan problems in several space variables, I: Linear boundary conditions
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Error estimates for multidimensional singular parabolic problems
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L∞-convergence of finite element approximations
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Systems of nonlinear PDEs arising from dynamical phase transitions
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Variational methods in the stefan problem
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A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
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Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
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Identification of hysteresis loops
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Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
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Generation and propagation of interfaces for reaction-diffusion equations
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Convergence and approximation of semigroups of nonlinear operators in Banach spaces
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Maximum principle and uniform convergence for the finite element method
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Accuracy estimates and adaptive refinements in finite element computations
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Adaptive finite element methods in computational mechanics
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A P1P0 finite element method for a model of polymer crystallization
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Variational principles and free boundary problems
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Some properties of the nonlinear semigroup for the problem ut − Δf(u) = 0
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Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations
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Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature
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Existence and uniqueness of solutions to a concentrated capacity problem with change of phase
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Continuous and semidiscrete travelling waves for a phase relaxation model
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Error estimates and free-boundary convergence for a finite difference discretization of a parabolic variational inequality
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A numerical method for solving the problem $u_t - \Delta f (u) = 0$
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A finite element solution of the monlinear heat equation
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Convergence of the discrete free boundaries for finite element approximations
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A note on the approximation of free boundaries by finite element methods
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Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
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Numerical approximation of the Preisach model for hysteresis
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On the Stefan problem
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Optimal error estimates for an approximation of degenerate parabolic problems
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The combined use of a nonlinear chernoff formula with a regularization procedure for two-phase stefan problems
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Some results on the multi-phase stefan problem
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A class of non-degenerate two-phase stefan problems in several space variables
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Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature
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A Finite-element Front-tracking Enthalpy Method for Stefan Problems
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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