Ricardo H. Nochetto
Office: MTH 4408
phone: +1 301 405-5108
FAX: +1 301 314-0827
e-mail: rhn@math.umd.edu
finger my account
Research Interests
Free boundary problems and phase transitions: finite element methods,
adaptivity, PDE issues.
Papers
-
Optimal interface error estimates for the mean curvature flow
(with M. Paolini and C. Verdi)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),
21 (1994), 193-212
Abstract ,
- Sharp error analysis for curvature dependent evolving fronts
(with M. Paolini and C. Verdi)
Math. Models Methods Appl. Sci. 3 (1993),
711-723
Abstract ,
-
Removing the saturation assumption in a posteriori error
analysis
Istit. Lombardo Accad. Sci. Lett. Rend. A, 127 (1993), 67-82.
Abstract ,
-
Effect of numerical integration for elliptic obstacle problems
(with X. Jiang)
Numer. Math., 67 (1994), 501-512.
Abstract ,
-
Double obstacle formulation with variable relaxation
parameter for smooth geometric front evolutions:
asymptotic interface error estimates
(with M. Paolini and C. Verdi)
Asymptotic Anal., 10 (1995), 173-198.
Abstract ,
-
Quadratic rate of convergence for curvature dependent smooth
interfaces: a simple proof
(with M. Paolini and C. Verdi)
Appl. Math.
Letters, 7 (1994), 59-63.
Abstract ,
-
Pointwise a posteriori error estimates for elliptic problems
on highly graded meshes
Math. Comp., 64 (1995), 1-22.
Abstract ,
-
Convergence of double obstacle problems to the generalized
geometric motion of fronts
(with C. Verdi)
SIAM J. Math. Anal., 26 (1995), 1514-1526.
Abstract ,
-
A $P^1-P^0$ finite element method for a model of polymer
crystallization
(with X. Jiang and C. Verdi)
Comput. Methods Appl. Mech.
Engrg., 125 (1995), 303-317.
Abstract ,
-
Convergence past singularities for a fully discrete approximation
of curvature driven interfaces
(with C. Verdi)
SIAM J. Numer. Anal. (to appear).
Abstract ,
-
A dynamic mesh algorithm for curvature dependent evolving
interfaces
(with M. Paolini and C. Verdi)
J. Comp. Physics, 123 (1996), 296-310.
Abstract ,
-
Optimal error estimates for semidiscrete phase relaxation
models
(with X. Jiang)
RAIRO Model. Math. Anal. Numer. (to appear).
Abstract ,
-
Effect of explicit time stepping and quadrature for curvature
driven flows
(with C. Verdi)
Numer. Math., 74 (1996), 105-13.
Abstract ,
-
A $P^1-P^1$ finite element method for a phase relaxation model.
Part I: Quasi-uniform mesh
(with X. Jiang)
(submitted).
Abstract ,
Math at UMCP
Ricardo H. Nochetto,
rhn@math.umd.edu
Last modified: Thu Aug 24 16:15:54 EDT 1995