Numerical Solution of Partial Differential Equations by the Finite Element Method

Anaccessibleintroductiontothefiniteelementmethodforsolvingnumericproblems,thisvolumeoffersthekeystoanimportanttechniqueincomputationalmathematics.Suitableforadvancedundergraduateandgraduatecourses,itoutlinesclearconnectionswithapplicationsandconsidersnumerousexamplesfromavarietyofscience-andengineering-relatedspecialties.Thistextencompassesallvarietiesofthebasiclinearpartialdifferentialequations,includingelliptic,parabolicandhyperbolicproblems,aswellasstationaryandtime-dependentproblems.Additionaltopicsincludefiniteelementmethodsforintegralequations,anintroductiontononlinearproblems,andconsiderationsofuniquedevelopmentsoffiniteelementtechniquesrelatedtoparabolicproblems,includingmethodsforautomatictimestepcontrol.Therelevantmathematicsareexpressedinnon-technicaltermswheneverpossible,intheinterestsofkeepingthetreatmentaccessibletoamajorityofstudents.