<?xml version="1.0"?><ownershipDocument><schemaVersion>X0201</schemaVersion>    <documentType>4</documentType><periodOfReport>2003-08-28</periodOfReport><notSubjectToSection16>0</notSubjectToSection16><issuer><issuerCik>0001035688</issuerCik><issuerName>SELECT MEDICAL CORP</issuerName>        <issuerTradingSymbol>SEM</issuerTradingSymbol></issuer><reportingOwner><reportingOwnerId><rptOwnerCik>0001169897</rptOwnerCik><rptOwnerName>CHERNOW DAVID S</rptOwnerName></reportingOwnerId><reportingOwnerAddress><rptOwnerStreet1>4324 EAST ORCHARD LANE</rptOwnerStreet1><rptOwnerStreet2></rptOwnerStreet2><rptOwnerCity>LITTLETON</rptOwnerCity><rptOwnerState>CO</rptOwnerState><rptOwnerZipCode>80121</rptOwnerZipCode><rptOwnerStateDescription></rptOwnerStateDescription></reportingOwnerAddress><reportingOwnerRelationship><isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Stock, par value $.01 per share</value></securityTitle><transactionDate><value>2003-08-28</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>S</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>4000</value></transactionShares><transactionPricePerShare><value>29</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>8520</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ David S. Chernow</signatureName><signatureDate>2003-08-29</signatureDate></ownerSignature></ownershipDocument>

