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The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.
Ion Aurel Cristescu. "On the convergence of the backward Euler algorithm for the multidimensional heat equation." Applicationes Mathematicae 41.4 (2014): 351-360. <http://eudml.org/doc/279898>.
@article{IonAurelCristescu2014, abstract = {The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.}, author = {Ion Aurel Cristescu}, journal = {Applicationes Mathematicae}, keywords = {backward Euler algorithm; finite element method; heat equation; variational methods}, language = {eng}, number = {4}, pages = {351-360}, title = {On the convergence of the backward Euler algorithm for the multidimensional heat equation}, url = {http://eudml.org/doc/279898}, volume = {41}, year = {2014}, }
TY - JOUR AU - Ion Aurel Cristescu TI - On the convergence of the backward Euler algorithm for the multidimensional heat equation JO - Applicationes Mathematicae PY - 2014 VL - 41 IS - 4 SP - 351 EP - 360 AB - The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied. LA - eng KW - backward Euler algorithm; finite element method; heat equation; variational methods UR - http://eudml.org/doc/279898 ER -